Thanks, everyone. The guy that gave it to me didn't seem so tech savvy to me, so I doubt he tried baking it. I figured I'd try it, as I have nothing to lose. It does beep right after I turn it on most of the time, but a few times it has waited a few seconds then beeped.

I found this link, and was going to give it a whirl. It'd be cool to have a second PS3. Fingers crossed.

http://www.instructables.com/id/How-to-Fix-a-PS3-by-Reflowing-the-Motherboard/