{blackbabes} Mariah Carey -- Bel Air is for Princes, Not for Queens (HOME PHOTOS)

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Mariah Carey and Nick Cannon just freed up a big chunk of Bel Air, selling their massive estate and pocketing a few mil in the process.

The couple sold the 3 acre, 7-bedroom Colonial for a skosh over $10 mil, which sounds impressive, but it's 3 million LESS than what they wanted. Nonetheless, they bought it for $7 mil in 2009 so they won't be apartment hunting in the Valley.

In case you want to know what you missed out on ... the house has a movie theater, a gym, an indoor basketball court and a putting green.

Unless Miley Cyrus bought the house, it's likely the monogram at the bottom of the pool will be deep six'd.

Real estate sources tell us ... M&N plan to ditch the left coast ... for NYC.

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