Track all affiliate link clicks

Using Google Analytics 6x3.5

Hello
I've done some amount of searching around and have not found a solution which I can understand.
I keep all of my affiliate links in a file located at public_html programmes.php the links are accessed using /visit/affiliate-site-name for example, bingoparadise.co.uk /visit/snap-bingo

I need a simple way to track which page all of the /visit/ links were clicked on.

Has anyone any helpful solutions?

Thanks
T