Depending on your location, time of year, if you have your own financing, and don't exhibit a case of "The Wants" (ie; You come off like you could wait on buying one for another 6 months), I think you could probably get them around $7500 or so. Also depending how much they jacked the sticker up.
Realize, that they probably paid roughly $6775 (that's the invoice on the ZX-6R) and just by asking for MSRP, they're making around 15% or so. Most dealers will say "Oh man, you're killing me on that price. The lowest we can go is $7950" or something to that effect.
If you can, and if your financing through your bank or C.U., get preapproved for X amount of dollars. This way, you can go to the dealer and say "I'll give you X amount of dollars right now if you want to deal". This way, they'll know you're serious and that you don't need to get screwed by some Yamaha financing promotion.
Kawasaki had some thing a while back (same with Honda) where you can get a bike for a mere $49.95/mo!!!!! WOOOHOO. But that's only for the first 2 years, then you get raped with a 16% or higher APR!! Stay away from that unless you're dying for the bike.
My situation, I did about 4 months of research before buying my '01 ZX-6R in Jan of this year. They were asking $7900 for it, and I offered them $7100. They did the mind game, saying that was too low. At this point, I said "Well, here's my number. If you want to deal at this price, you've just made the easiest sale of you life". They called two days later, still playing the game where I again told them this was my price and not to call unless they were willing to do the deal at this price. 3 weeks later (towards the end of December where they would have to renew their insurance) they called and said "$7150.59 out the door" (the $59.59 was a docking fee). Whaaala. I got my bike, and saved almost a grand. With the money I saved, I used it to buy a trick kit, and I'll get getting a slip on later this month.
Be patient. There are a thousand guys out there who walk into the dealers with the "Wants". Salesguys can smell this all the way and will go for the kill.
SH*T, sorry for the long post. Hope it helps!