Question

Which expression is equivalent to
–
5(
–
9y–3)–8?

Answer 1

To simplify the expression \(-5(-9y - 3) - 8\), we can start by distributing the \(-5\) to both terms inside the parentheses.

1. Distributing \(-5\):
\[
-5 \times -9y = 45y
\]
\[
-5 \times -3 = 15
\]

So, we have:
\[
45y + 15
\]

2. Now, include the \(-8\) from the original expression:
\[
45y + 15 - 8
\]

3. 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:
\[
\boxed{45y + 7}
\]