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

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


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

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

Remove parenthesis around (-1x + y)
y + -1x + y = 2(x + -1(y + -1x))

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

Combine like terms: y + y = 2y
-1x + 2y = 2(x + -1(y + -1x))

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

Combine like terms: x + 1x = 2x
-1x + 2y = 2(2x + -1y)
-1x + 2y = (2x * 2 + -1y * 2)
-1x + 2y = (4x + -2y)

Solving
-1x + 2y = 4x + -2y

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1x + -4x + 2y = 4x + -4x + -2y

Combine like terms: -1x + -4x = -5x
-5x + 2y = 4x + -4x + -2y

Combine like terms: 4x + -4x = 0
-5x + 2y = 0 + -2y
-5x + 2y = -2y

Add '-2y' to each side of the equation.
-5x + 2y + -2y = -2y + -2y

Combine like terms: 2y + -2y = 0
-5x + 0 = -2y + -2y
-5x = -2y + -2y

Combine like terms: -2y + -2y = -4y
-5x = -4y

Divide each side by '-5'.
x = 0.8y

Simplifying
x = 0.8y

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