To solve the equation [tex]\(6y - 20 = 2y - 4\)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
6y - 20 = 2y - 4
\][/tex]
2. Move the terms involving [tex]\(y\)[/tex] to one side of the equation:
Subtract [tex]\(2y\)[/tex] from both sides:
[tex]\[
6y - 20 - 2y = 2y - 4 - 2y
\][/tex]
This simplifies to:
[tex]\[
4y - 20 = -4
\][/tex]
3. Move the constant terms to the other side of the equation:
Add 20 to both sides:
[tex]\[
4y - 20 + 20 = -4 + 20
\][/tex]
This simplifies to:
[tex]\[
4y = 16
\][/tex]
4. Isolate [tex]\(y\)[/tex]:
Divide both sides by 4:
[tex]\[
\frac{4y}{4} = \frac{16}{4}
\][/tex]
This simplifies to:
[tex]\[
y = 4
\][/tex]
So, the solution to the equation [tex]\(6y - 20 = 2y - 4\)[/tex] is [tex]\(y = 4\)[/tex].
Therefore, the correct answer is [tex]\( \boxed{y = 4} \)[/tex].
