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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: x + -1x = 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.