To make sure I understand: You want your webserver to be accessible from the Internet and you want your "my system" box to have Internet access?
I would think "my system" should already have Internet access. To make your webserver accessible from the Internet you need to set up DNAT on your Gateway and tell it to use "my system" as the gateway for your webserver (check the manufacturers documentation) to forward incoming connections to your webserver, and you need to enable ip forwarding in "my system." Both eth1 and the Webserver use static IP addresses?
There are several ways to enable ip forwarding. One way is to add
Code:
net.ipv4.ip_forward = 1
to
/etc/sysctl.conf.
Have you considered simply connecting your webserver directly to the Gateway? I would think that would be (slightly) simpler.