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

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


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

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

Combine like terms: 2x + -4x = -2x
-2x + 2y + -4y = 8(x + 2) + -8(y + 2)

Combine like terms: 2y + -4y = -2y
-2x + -2y = 8(x + 2) + -8(y + 2)

Reorder the terms:
-2x + -2y = 8(2 + x) + -8(y + 2)
-2x + -2y = (2 * 8 + x * 8) + -8(y + 2)
-2x + -2y = (16 + 8x) + -8(y + 2)

Reorder the terms:
-2x + -2y = 16 + 8x + -8(2 + y)
-2x + -2y = 16 + 8x + (2 * -8 + y * -8)
-2x + -2y = 16 + 8x + (-16 + -8y)

Reorder the terms:
-2x + -2y = 16 + -16 + 8x + -8y

Combine like terms: 16 + -16 = 0
-2x + -2y = 0 + 8x + -8y
-2x + -2y = 8x + -8y

Solving
-2x + -2y = 8x + -8y

Solving for variable 'x'.

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

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

Combine like terms: -2x + -8x = -10x
-10x + -2y = 8x + -8x + -8y

Combine like terms: 8x + -8x = 0
-10x + -2y = 0 + -8y
-10x + -2y = -8y

Add '2y' to each side of the equation.
-10x + -2y + 2y = -8y + 2y

Combine like terms: -2y + 2y = 0
-10x + 0 = -8y + 2y
-10x = -8y + 2y

Combine like terms: -8y + 2y = -6y
-10x = -6y

Divide each side by '-10'.
x = 0.6y

Simplifying
x = 0.6y

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