Let's simplify the expression step-by-step:
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Distribute the 8 to the terms inside the first parentheses: \[ 8(2 - 2y) = 8 \cdot 2 - 8 \cdot 2y = 16 - 16y \]
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Now, distribute the negative sign in front of the second parentheses: \[ -(3 + 3y) = -3 - 3y \]
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Now combine the two results: \[ 16 - 16y - 3 - 3y \]
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Combine like terms:
- For the constant terms: \(16 - 3 = 13\)
- For the \(y\) terms: \(-16y - 3y = -19y\)
Thus, the simplified expression is: \[ 13 - 19y \]