To simplify the expression \(-5(-9y - 3) - 8\), we can start by distributing the \(-5\) to both terms inside the parentheses.
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Distributing \(-5\): \[ -5 \times -9y = 45y \] \[ -5 \times -3 = 15 \]
So, we have: \[ 45y + 15 \]
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Now, include the \(-8\) from the original expression: \[ 45y + 15 - 8 \]
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Combine the constants \(15\) and \(-8\): \[ 15 - 8 = 7 \]
Bringing it all together, we get: \[ 45y + 7 \]
Thus, the expression equivalent to \(-5(-9y - 3) - 8\) is: \[ \boxed{45y + 7} \]