To solve the equation [tex]\(-2x + 4y = -4\)[/tex] for [tex]\(y\)[/tex] when [tex]\(x = 20\)[/tex], we will follow these steps:
1. Substitute [tex]\(x = 20\)[/tex] into the equation:
[tex]\[
-2(20) + 4y = -4
\][/tex]
2. Simplify the left side:
[tex]\[
-40 + 4y = -4
\][/tex]
3. Rearrange the equation to isolate the term with [tex]\(y\)[/tex]:
[tex]\[
4y = -4 + 40
\][/tex]
4. Simplify the right side:
[tex]\[
4y = 36
\][/tex]
5. Divide both sides by 4 to solve for [tex]\(y\)[/tex]:
[tex]\[
y = \frac{36}{4}
\][/tex]
6. Simplify the division:
[tex]\[
y = 9
\][/tex]
So, the value of [tex]\(y\)[/tex] when [tex]\(x\)[/tex] equals 20 is [tex]\(\boxed{9}\)[/tex].
