-4(2x-2)+y=-8x+20+2x

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Solution for -4(2x-2)+y=-8x+20+2x equation:


Simplifying
-4(2x + -2) + y = -8x + 20 + 2x

Reorder the terms:
-4(-2 + 2x) + y = -8x + 20 + 2x
(-2 * -4 + 2x * -4) + y = -8x + 20 + 2x
(8 + -8x) + y = -8x + 20 + 2x

Reorder the terms:
8 + -8x + y = 20 + -8x + 2x

Combine like terms: -8x + 2x = -6x
8 + -8x + y = 20 + -6x

Solving
8 + -8x + y = 20 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
8 + -8x + 6x + y = 20 + -6x + 6x

Combine like terms: -8x + 6x = -2x
8 + -2x + y = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
8 + -2x + y = 20 + 0
8 + -2x + y = 20

Add '-8' to each side of the equation.
8 + -2x + -8 + y = 20 + -8

Reorder the terms:
8 + -8 + -2x + y = 20 + -8

Combine like terms: 8 + -8 = 0
0 + -2x + y = 20 + -8
-2x + y = 20 + -8

Combine like terms: 20 + -8 = 12
-2x + y = 12

Add '-1y' to each side of the equation.
-2x + y + -1y = 12 + -1y

Combine like terms: y + -1y = 0
-2x + 0 = 12 + -1y
-2x = 12 + -1y

Divide each side by '-2'.
x = -6 + 0.5y

Simplifying
x = -6 + 0.5y

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