The black wire on the new radio is the same as the black (negative) wire on the old radio. Hook them together. The Yellow and Red wire on the new radio can both be connected to the red (positive) wire from the old radio harness. The green/white, orange, brown, blue, and pink are not necessary. The rest of the hookup is just speakers.
Both the original power wires should be suitable for powering the new radio.
The yellow wire on the new radio is to retain your new radio programming, such as which channels you want saved, etc. The red wire is for you to switch the power to the new radio off and on. Since you probably have an off/on switch on the radio, you really don't need another switch so just connect red and yellow together and hook them both to the positive wire from the old harness.
If you want to use the red wire to shut down power to the new radio, insert a switch into the wiring. This may save you some battery power when you aren't using the RV. You can also insert the same switch into the yellow wire which will remove all power to the new radio, which may also cause it to lose memory but will save battery power when not in use.