To find the expression equivalent to [tex]\(3(-4.2 y - 13.6)\)[/tex], we follow these steps:
1. Distribute the multiplication: Multiply each term inside the parenthesis by 3.
[tex]\[
3 \cdot (-4.2 y) + 3 \cdot (-13.6)
\][/tex]
2. Perform the multiplications:
- For [tex]\(3 \cdot (-4.2 y)\)[/tex]:
[tex]\[
3 \cdot (-4.2 y) = -12.6 y
\][/tex]
- For [tex]\(3 \cdot (-13.6)\)[/tex]:
[tex]\[
3 \cdot (-13.6) = -40.8
\][/tex]
3. Combine the results:
[tex]\[
-12.6 y - 40.8
\][/tex]
So, the expression equivalent to [tex]\(3(-4.2 y - 13.6)\)[/tex] is [tex]\(-12.6 y - 40.8\)[/tex].
Therefore, the correct choice is:
[tex]\[
\boxed{-12.6 y - 40.8}
\][/tex]
