You got ripped off. There are no speaker wires, so of course there will be no sound!
Actually, ... You have a remote amplifier. The audio signals are carried through the DIN cable to the amp. Your red / white wire is the constant 12 volt for the station preset and clock memory. The yellow / black comes from the instrument cluster and the Engine Computer. Can't tell if that's for dash lights or speed-sensitive volume. Either way, you likely don't need it. Blue is the switched 12 volts. The green / white wire and the black / yellow wire go to the interior lights system. Not sure what the story is there.
If your new radio has two RCA cables, those are line-level output. You may be able to connect them to the wires in the DIN cable. You'll have to cut it open and experiment with that. The alternative is to run the new radio's speaker wires to the amp. You'll have to cut the wires at the amp that go to the speakers, then connect them to the radio's speaker wires.
Left front speaker: White / blue and black / blue
Left tweeter: Brown / blue and orange / blue
Left rear: Yellow / blue and gray / blue
Right front: White / red and black / red
Right tweeter: Brown / red and orange / red
Right rear: Yellow / red and gray / red
Center speaker: Orange / red and brown / blue that come from the two tweeters
2 black wires are grounds. Not sure why there's two, but they attach to opposite sides in the trunk.
Sunday, September 3rd, 2017 AT 9:37 PM