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

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


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

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

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

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

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

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

Solving
-1y = y

Solving for variable 'y'.

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

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

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

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

Divide each side by '-2'.
y = 0

Simplifying
y = 0

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