My right reverse light on my 97 camaro has stopped working...I've replaced the bulb multiple times. The left one works fine.

When this happens there are a couple of things to do. First of all trace the ground wire back to where it is attached to the frame from that right light. Check to make sure that there is no corrosion or a weak connection there. That may have solved it. If not, remove the bulb and clean the bulb socket with the eraser end of a common pencil. If that doesn't solve it test that socket with a 12 volt tester to see if you have power there. If not, replace the socket.