I was able to get You Tube files to play back video and audio, but now, when I go to play a video, I'm being asked to install the Flash plug-in (again). The only thing that changed was the installation of OpenOffice and a few native (Package Manager) games for my son. I removed and re-installed the Flash plug-in to no avail.

I read a few post which suggest running the 32-bit version of the plug-in, but I would like feedback before going any further.

TIA

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Removed:
flash-plugin.i386 0:10.3.181.14-release

Complete!
[root@localhost user1]# yum install flash-plugin
Loaded plugins: fastestmirror, langpacks, presto, refresh-packagekit
Adding en_US to language list
Loading mirror speeds from cached hostfile
* fedora: linux.nssl.noaa.gov
* updates: linux.nssl.noaa.gov
Setting up Install Process
Resolving Dependencies
--> Running transaction check
---> Package flash-plugin.i386 0:10.3.181.14-release set to be installed
--> Finished Dependency Resolution

Dependencies Resolved

==================================================================================================== ==========
Package Arch Version Repository Size
==================================================================================================== ==========
Installing:
flash-plugin i386 10.3.181.14-release adobe-linux-i386 5.2 M

Transaction Summary
==================================================================================================== ==========
Install 1 Package(s)

Total download size: 5.2 M
Installed size: 13 M
Is this ok [y/N]: y
Downloading Packages:
Setting up and reading Presto delta metadata
Processing delta metadata
Package(s) data still to download: 5.2 M
flash-plugin-10.3.181.14-release.i386.rpm | 5.2 MB 00:08
Running rpm_check_debug
Running Transaction Test
Transaction Test Succeeded
Running Transaction
Installing : flash-plugin-10.3.181.14-release.i386 1/1

Installed:
flash-plugin.i386 0:10.3.181.14-release

Complete!
[root@localhost user1]#

I don't know when Adobe posted this, but perhaps you spoke too soon. I didn't get from your message that you had tried the 64-bit edition. Anyway, here it is:
Of course, there are no gaurentees (which I misspelled).