(x-y+2)-(x+7-2y)=

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Solution for (x-y+2)-(x+7-2y)= equation:


Simplifying
(x + -1y + 2) + -1(x + 7 + -2y) = 0

Reorder the terms:
(2 + x + -1y) + -1(x + 7 + -2y) = 0

Remove parenthesis around (2 + x + -1y)
2 + x + -1y + -1(x + 7 + -2y) = 0

Reorder the terms:
2 + x + -1y + -1(7 + x + -2y) = 0
2 + x + -1y + (7 * -1 + x * -1 + -2y * -1) = 0
2 + x + -1y + (-7 + -1x + 2y) = 0

Reorder the terms:
2 + -7 + x + -1x + -1y + 2y = 0

Combine like terms: 2 + -7 = -5
-5 + x + -1x + -1y + 2y = 0

Combine like terms: x + -1x = 0
-5 + 0 + -1y + 2y = 0
-5 + -1y + 2y = 0

Combine like terms: -1y + 2y = 1y
-5 + 1y = 0

Solving
-5 + 1y = 0

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + 1y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 1y = 0 + 5
1y = 0 + 5

Combine like terms: 0 + 5 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5

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