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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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