Simplify the following text for a Grade 12 native English-speaking person.
Original: Cozumel ( Mayan : Island of the Swallows ) ( KÃ utsmil in Modern Maya ) is an island in the Caribbean Sea off the eastern coast of Mexico 's Yucatan Peninsula , opposite Playa del Carmen , and close to the Yucatan Channel .
Simplified: Cozumel ( Mayan : Island of the Swallows ) is an island in the Caribbean Sea off the eastern coast of Mexico 's YucatÃ n Peninsula , opposite Playa del Carmen .