4y-6=2(x-6)

Solution for 4y-6=2(x-6) equation:

Simplifying
4y + -6 = 2(x + -6)

Reorder the terms:
-6 + 4y = 2(x + -6)

Reorder the terms:
-6 + 4y = 2(-6 + x)
-6 + 4y = (-6 * 2 + x * 2)
-6 + 4y = (-12 + 2x)

Solving
-6 + 4y = -12 + 2x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 4y = -12 + 6 + 2x

Combine like terms: -6 + 6 = 0
0 + 4y = -12 + 6 + 2x
4y = -12 + 6 + 2x

Combine like terms: -12 + 6 = -6
4y = -6 + 2x

Divide each side by '4'.
y = -1.5 + 0.5x

Simplifying
y = -1.5 + 0.5x