Here is a working Adobe Flash Player version for our Samsung Galaxy Y. I do not take any credit for modifying it to work with ARMv6. This is where I found it from: Click here.
This flash player works on stock browser! I got a comment below from a person that he managed to play Facebook games.
So let's begin. First of all, you would need the apk and lib.zip:
ROM Toolbox Lite is if you do not have Root Explorer. It is your choice with which one you want to do this.
After you've finished downloading the apk and lib.zip, put the 2 files into your SD card and extract the lib.zip wherever you want (root directory preffered for quicker use).
Now follow the instructions in the video tutorial: