2(-2y+1)=4(6+x)

Solution for 2(-2y+1)=4(6+x) equation:

Simplifying
2(-2y + 1) = 4(6 + x)

Reorder the terms:
2(1 + -2y) = 4(6 + x)
(1 * 2 + -2y * 2) = 4(6 + x)
(2 + -4y) = 4(6 + x)
2 + -4y = (6 * 4 + x * 4)
2 + -4y = (24 + 4x)

Solving
2 + -4y = 24 + 4x

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + -4y = 24 + -2 + 4x

Combine like terms: 2 + -2 = 0
0 + -4y = 24 + -2 + 4x
-4y = 24 + -2 + 4x

Combine like terms: 24 + -2 = 22
-4y = 22 + 4x

Divide each side by '-4'.
y = -5.5 + -1x

Simplifying
y = -5.5 + -1x