(x+20)=(x+10)+(y-40)

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Solution for (x+20)=(x+10)+(y-40) equation:


Simplifying
(x + 20) = (x + 10) + (y + -40)

Reorder the terms:
(20 + x) = (x + 10) + (y + -40)

Remove parenthesis around (20 + x)
20 + x = (x + 10) + (y + -40)

Reorder the terms:
20 + x = (10 + x) + (y + -40)

Remove parenthesis around (10 + x)
20 + x = 10 + x + (y + -40)

Reorder the terms:
20 + x = 10 + x + (-40 + y)

Remove parenthesis around (-40 + y)
20 + x = 10 + x + -40 + y

Reorder the terms:
20 + x = 10 + -40 + x + y

Combine like terms: 10 + -40 = -30
20 + x = -30 + x + y

Add '-1x' to each side of the equation.
20 + x + -1x = -30 + x + -1x + y

Combine like terms: x + -1x = 0
20 + 0 = -30 + x + -1x + y
20 = -30 + x + -1x + y

Combine like terms: x + -1x = 0
20 = -30 + 0 + y
20 = -30 + y

Solving
20 = -30 + 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.
20 + -1y = -30 + y + -1y

Combine like terms: y + -1y = 0
20 + -1y = -30 + 0
20 + -1y = -30

Add '-20' to each side of the equation.
20 + -20 + -1y = -30 + -20

Combine like terms: 20 + -20 = 0
0 + -1y = -30 + -20
-1y = -30 + -20

Combine like terms: -30 + -20 = -50
-1y = -50

Divide each side by '-1'.
y = 50

Simplifying
y = 50

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