Well im having this problem with my 04 cavalier. the passenger side headlight is dim.
i have checked the fuses both fuses are good i have swapped headlight bulbs and they're both good. but here is the thing that gets me whenever i remove the drivers side bulb the passenger side headlight doesn't work. im hoping to get the car back on the road and now im all confused. i checked the power and its 13 volts on 2 of the tabs in both headlights and the other is at 0 so i know both are getting power its just thta one is dimmer then the other...

thanks in advance

i had the same problem on my 2000 z and it was the wires that join together in the middle of the core support... where they joined the 3 together not saying it is the same on yours but it is a place to start