You're not the first to report heat in this area. And, one of the folks that reported the problem said the keyboard was not turned up high, and Yamaha suggested that one of the vents may be blocked. Might want to check this out farther.
Good Luck,
Gary
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Travlin' Easy
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PSR-S950, TC Helicon Harmony-M, Digitech VR, Samson Q7, Sennheiser E855, Custom Console, and lots of other silly stuff!
K+E=W (Knowledge Plus Experience = Wisdom.)