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

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

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

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

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

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

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

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

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

Solving
-4x = -4y

Solving for variable 'x'.

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

Divide each side by '-4'.
x = y

Simplifying
x = y