How to Install hplip-3.20.6

Guys, I downloaded hplip-3.20.6.run from the HP Support website and I was afraid to run it and give dependency problems.
I noticed that it really have a dependency problem with Python3-pyqt4 and on the Linux Mint website it seemed to me that it still don't have a simple solution to work around this dependency problem with Phyton3-pyqt4.
I am running now on Laptop Acer Nitro 5:
Linux Mint 20 Cinnamon Cinnamon version: 4.6.6
Kernel 5.4.0-42-generic
hplip -3.20.3 + dfsg (what is this dfsg?)
Does HP Deskjet Multifuncional HP Deskjet Ink Advantage 3776 works fine with my Linux Mint 20?
What Printers do you suggest?
Thanks in advance for any suggestions

hplip should be in the mint repos ( i run openSUSE so... )

to search

sudo apt search hplip 

if it is there then 

sudo apt-get hplip

if you can not find it you will need to wait for a mint user to post

Well, the app is instaled but the version is hplip-3.20.3 and HP already has offered hplip-3.20.6

A newer version may not actually offer any benefit over an older version. They may have released it to cover newer models, to remove bugs that don't impact you, etc... So, I'd try the _supported_ version in the repository able to be installed w/apt.

However, usually .run files can be turned into executables (chmod +x filename.run) and run from the terminal by just using the filename.run command. Usually...

(I'm not a Mint user, but that strikes me as something pretty universal.)

+1 on trying the supported version.

You can usually check the Changelog, but it won't be much. Most packages are labelled 'package-x.y.z' where x, y, & z are numbers as in your hplip-3.20.6;

• Increment z for a bug fix. The program remains the same (eg 3.20.5 -->3.20.6)
• Increment y for feature additions (3.20.6 --> 3.21.0)
• Increment x for compatibility break 3.20.6 --> 4.0.0)

If you're on 3.20.x, there's no point in updating.

hplip uses Python-qt4 for its dedicated user interface. If installed without, it still works as a driver, but you have to configure it through cups.

But hplip-3.20.6.run can be installed without Python-qt4? What is the step by step procedure to install it without have dependencies issues? Just "sudo hplip-3.20.6.run" in a terminal?

Well, the app is instaled but the version is hplip-3.20.3 and HP already has offered hplip-3.20.6

I have never in over a dozen years of using HPLIP and HP printers noticed any significant differences that were visible to the user in HPLIP version upgrades.

As far as I know as new printers are introduced HP will add suport which I assume means a new version. Your particular model number is not on the supported printer list but it might fall under the Advantage 3735 as part of its series. It appears that all of the Advantage type printers min version is 3.17.x so which hopefully means that you do not need to upgrade.

As already suggested I would try installing your printer using the currently installed version.

https://developers.hp.com/hp-linux-imaging-and-printing

@business_kid. True in priciple for most software, but HPLIP release numbers are (partially) date-based: 3.20.3 was released in March 2020, and 3.20.6 in June 2020.

So from March to June is not a very significant time difference. So, I think the hplip-3.20.3 should support the 37 series printers ??

By the way I checked on Seiko-Epson support that Linux Mint 20 has a driver for the Epson Ecotank L3150 Printer. I ended up buying this printer. It is already working on my Linux Mint 20. The scanner is working not too round but it is possible to scan documents. I managed to work with Xsane. He recognized the scanner part. I just had to configure /etc/imagescan as:
# /etc/imagescan/imagescan.conf -- Image Scan configuration
# Refer to the documentation for details on the configuration options
# for the software. Plugins should come with their own documentation
# if they have configuration options.
#
# Lines starting with a # or a ; are comments. Comments must be on a
# line of their own. End-of-line comments are not supported.

[devices]
myscanner.udi = esci:networkscan://192.168.1.105:1865
myscanner.vendor = Epson
myscanner.model = DS-5500
myscanner.name = My Network Scanner