Thank you for the replies everyone. I wanted to get an idea of what leverage I had so I knew how to approach the situation. Here's what happened if anyone cares:
I ended up having to visit the dealership three times and had dozens of calls, voicemails, and messages completely ignored in between...
I leased a car and stated up front that I didn't want to put any money down and that I wanted the left over value of my trade-in to be refunded to me. Basically I would just be selling them the car. We agreed that my car was worth 10,000 with a 6,600 loan payoff and that I'd receive a check for...