(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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