(2x-y+60)=(2x+y+40)

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Solution for (2x-y+60)=(2x+y+40) equation:


Simplifying
(2x + -1y + 60) = (2x + y + 40)

Reorder the terms:
(60 + 2x + -1y) = (2x + y + 40)

Remove parenthesis around (60 + 2x + -1y)
60 + 2x + -1y = (2x + y + 40)

Reorder the terms:
60 + 2x + -1y = (40 + 2x + y)

Remove parenthesis around (40 + 2x + y)
60 + 2x + -1y = 40 + 2x + y

Add '-2x' to each side of the equation.
60 + 2x + -2x + -1y = 40 + 2x + -2x + y

Combine like terms: 2x + -2x = 0
60 + 0 + -1y = 40 + 2x + -2x + y
60 + -1y = 40 + 2x + -2x + y

Combine like terms: 2x + -2x = 0
60 + -1y = 40 + 0 + y
60 + -1y = 40 + y

Solving
60 + -1y = 40 + 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.
60 + -1y + -1y = 40 + y + -1y

Combine like terms: -1y + -1y = -2y
60 + -2y = 40 + y + -1y

Combine like terms: y + -1y = 0
60 + -2y = 40 + 0
60 + -2y = 40

Add '-60' to each side of the equation.
60 + -60 + -2y = 40 + -60

Combine like terms: 60 + -60 = 0
0 + -2y = 40 + -60
-2y = 40 + -60

Combine like terms: 40 + -60 = -20
-2y = -20

Divide each side by '-2'.
y = 10

Simplifying
y = 10

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