The trailer has 2 wires running to each light. Would I tie the brake light wires together at the plug?
NO! The Brake Lights are also the Turn Signals.
The Right side has a Brown and Green.
The Left side has a Brown and Yellow.
The Brown is the same brown on each side. (Tail Lights)
The Green and Yellow are the Brake/Turn lights, for each side.
Right, so the 2 browns should be tied together at the 4 pin connector?