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

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


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

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

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

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

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

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

Solving
y = -2y

Solving for variable 'y'.

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

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

Combine like terms: y + 2y = 3y
3y = -2y + 2y

Combine like terms: -2y + 2y = 0
3y = 0

Divide each side by '3'.
y = 0

Simplifying
y = 0

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