To find an equivalent expression for [tex]\((3 - 8y) \cdot (-2.5)\)[/tex], let's follow the steps of distributing the [tex]\(-2.5\)[/tex] through the parentheses and then simplifying:
1. Distribute [tex]\(-2.5\)[/tex] to each term inside the parentheses:
[tex]\[
(3 - 8y) \cdot (-2.5) = 3 \cdot (-2.5) + (-8y) \cdot (-2.5)
\][/tex]
2. Multiply each term:
- First, [tex]\(3 \cdot (-2.5)\)[/tex]:
[tex]\[
3 \cdot (-2.5) = -7.5
\][/tex]
- Second, [tex]\((-8y) \cdot (-2.5)\)[/tex]:
[tex]\[
(-8y) \cdot (-2.5) = 20y
\][/tex]
3. Combine the results:
[tex]\[
-7.5 + 20y
\][/tex]
So, an equivalent expression for [tex]\((3 - 8y) \cdot (-2.5)\)[/tex] is:
[tex]\[
-7.5 + 20y
\][/tex]
