Answer:
To solve the equation \( 8x - 2y = 4 \) for \( y \):
Start with the equation:
\[ 8x - 2y = 4 \]
Isolate \( -2y \) by subtracting \( 8x \) from both sides:
\[ -2y = 4 - 8x \]
Divide both sides by \(-2\) to solve for \( y \):
\[ y = \frac{4 - 8x}{-2} \]
Simplify the right-hand side:
\[ y = -2 + 4x \]
Therefore, the solution of the equation \( 8x - 2y = 4 \) is \( \boxed{y = -2 + 4x} \).
This equation \( y = -2 + 4x \) represents the relationship between \( x \) and \( y \) that satisfies the original equation \( 8x - 2y = 4 \).