To simplify the expression \(-(-8x + 2y - 10)\), we need to distribute the negative sign across the expression inside the parentheses.
Starting with: \[ -(-8x + 2y - 10) \]
Distributing the negative sign gives us: \[ 8x - 2y + 10 \]
So the simplified expression is: \[ 8x - 2y + 10 \]
Looking at the options provided:
a) \(8x + 2y + 10\)
b) \(8x - 2y + 10\)
c) \(8x - 2y - 10\)
The correct answer is: b) \(8x - 2y + 10\).