2010 750 started idling real rough then wouldn't stay idling unless I was in the rpms... would still run but want to die at low rpms.. So I got to thinking I know I put old gas in it junk 87 that was in my garage for the mower I started with draining it out nothin.. then I pulled the plugs the were in rough shape so changed them that helped for a couple minutes ran great then started acting up throwing some black smoke almost like it was running rich... Then I pulled the fuel pump (which had stink bugs and leafs in it?) Changed the filter nothing wouldn't even fire so then I realized there was no spark on the rear so I did a coil it fired right up but will not idle unless I give it a little throttle can ride it but it dies as soon as you let off the throttle.. so I pulled the IAC cleaned with break cleaner still not better however if I pull either one of the small hoses off the IAC it runs just fine?? I'm at a loss any help is greatly appreciated thanks!

You've already done everything I'd have told you to try...

I know it's terrible 🤦‍♂️

Just saw IAC for your machine on Ebay for twenty bucks