To simplify the expression \(-8(2 - 2y) - 3(3 + 3y)\), we'll start by distributing the constants into the parentheses:
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Distribute \(-8\) in the first part: \[ -8(2) + -8(-2y) = -16 + 16y \]
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Distribute \(-3\) in the second part: \[ -3(3) + -3(3y) = -9 - 9y \]
Now we combine both results: \[ -16 + 16y - 9 - 9y \]
Next, combine like terms:
- The constant terms: \(-16 - 9 = -25\)
- The \(y\) terms: \(16y - 9y = 7y\)
Putting it all together, we get: \[ -25 + 7y \]
So, the simplified expression is: \[ 7y - 25 \]