To solve the equation \( 2x - 4y = 78y \), we can first rearrange it to isolate \( x \) in terms of \( y \).
Start by simplifying the equation: \[ 2x - 4y = 78y \]
Add \( 4y \) to both sides: \[ 2x = 78y + 4y \] \[ 2x = 82y \]
Now, divide both sides by 2 to solve for \( x \): \[ x = \frac{82y}{2} \] \[ x = 41y \]
So, the solution gives us \( x \) in terms of \( y \): \[ x = 41y \]
This means for every value of \( y \), you can find a corresponding value of \( x \) by multiplying \( y \) by 41.