Hip-hop king Kanye West sweated it out offstage the other night. Spies at SoulCycle spin studio on West 72nd Street told us, “Kanye came to the 6:30 p.m. class and sat next to Lyor Cohen. Lyor was giving him tips throughout the class, because it was Ka nye’s first time spinning.” The insider told us he rocked out to songs by Styx, Tears for Fears, and N.E.R.D. before “ringing out his shirt.” Maybe West will hit the East Side next month, when SoulCycle opens a new studio on East 83rd Street.