Sure, let's apply the distributive property to the given expression step-by-step:
Given expression:
[tex]\[
(3 - 8y) \cdot (-2.5)
\][/tex]
Step 1: Distribute [tex]\(-2.5\)[/tex] to each term inside the parentheses.
First, multiply [tex]\(-2.5\)[/tex] by [tex]\(3\)[/tex]:
[tex]\[
3 \cdot (-2.5) = -7.5
\][/tex]
Second, multiply [tex]\(-2.5\)[/tex] by [tex]\(-8y\)[/tex]:
[tex]\[
-8y \cdot (-2.5) = 20.0y
\][/tex]
Step 2: Combine the results of the distributions.
[tex]\[
-7.5 + 20.0y \text{ or } 20.0y - 7.5
\][/tex]
Therefore, the equivalent expression is:
[tex]\[
20.0y - 7.5
\][/tex]
