180=(x+y)+(y-x)

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Solution for 180=(x+y)+(y-x) equation:


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

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

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

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

Reorder the terms:
180 = x + -1x + y + y

Combine like terms: x + -1x = 0
180 = 0 + y + y
180 = y + y

Combine like terms: y + y = 2y
180 = 2y

Solving
180 = 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.
180 + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
180 + -2y = 0

Add '-180' to each side of the equation.
180 + -180 + -2y = 0 + -180

Combine like terms: 180 + -180 = 0
0 + -2y = 0 + -180
-2y = 0 + -180

Combine like terms: 0 + -180 = -180
-2y = -180

Divide each side by '-2'.
y = 90

Simplifying
y = 90

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