does anybody know what color the speaker wires are that are connected to the back of the radio In a 96 Cavalier

Sure.... there is a harness of wires. If you are installing a deck, just get the darn harness adaptor and save your self problems.

12 volts constant orange
12 volts accesory yellow
ground black
fl+ tan
fl- grey
fr+ light green
fr- dk green
lr+ brown
lr- yellow
rr+ dark blue
rr- light blue

hope that helps

chris