Sure, let's solve the equation step-by-step:
1. Start with the given equation:
[tex]\[
4x - 2y = 4
\][/tex]
2. Substitute [tex]\( x = 4 \)[/tex] into the equation:
[tex]\[
4(4) - 2y = 4
\][/tex]
3. Simplify the left side of the equation:
[tex]\[
16 - 2y = 4
\][/tex]
4. Subtract 16 from both sides to isolate the term involving [tex]\( y \)[/tex]:
[tex]\[
16 - 2y - 16 = 4 - 16
\][/tex]
This simplifies to:
[tex]\[
-2y = -12
\][/tex]
5. Divide both sides of the equation by -2 to solve for [tex]\( y \)[/tex]:
[tex]\[
y = \frac{-12}{-2}
\][/tex]
Simplifying this gives:
[tex]\[
y = 6
\][/tex]
So, the value of [tex]\( y \)[/tex] when [tex]\( x = 4 \)[/tex] is [tex]\( y = 6 \)[/tex].
