Certainly! Let's simplify the expression step-by-step to find an equivalent one.
The given expression is:
[tex]\[
-y - 3(-3y + 5)
\][/tex]
First, let's distribute the [tex]\(-3\)[/tex] inside the parentheses:
[tex]\[
-3(-3y + 5) = (-3) \cdot (-3y) + (-3) \cdot 5
\][/tex]
Calculating this, we get:
[tex]\[
-3 \cdot (-3y) = 9y
\][/tex]
[tex]\[
-3 \cdot 5 = -15
\][/tex]
So, the expression inside changes to:
[tex]\[
-3(-3y + 5) = 9y - 15
\][/tex]
Now substitute this back into the original expression:
[tex]\[
-y + 9y - 15
\][/tex]
Combine like terms (-y and 9y):
[tex]\[
-y + 9y = 8y
\][/tex]
So, we now have:
[tex]\[
8y - 15
\][/tex]
Thus, the simplified equivalent expression is:
[tex]\[
8y - 15
\][/tex]
Hence, the correct answer is:
[tex]\[
\text{(D) } 8y - 15
\][/tex]
