Cloey will spend a total of $4,000 + $4,000 = $8,000 on the plane ticket and the English lessons.
To calculate how much cash she has left over, we need to subtract the total cost from her initial savings:
$10,000 - $8,000 = $2,000
Therefore, Cloey will have $2,000 cash left over after buying the plane ticket and English lessons.