X+y+(x+y+2)=43+y

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Solution for X+y+(x+y+2)=43+y equation:


Simplifying
X + y + (x + y + 2) = 43 + y

Reorder the terms:
X + y + (2 + x + y) = 43 + y

Remove parenthesis around (2 + x + y)
X + y + 2 + x + y = 43 + y

Reorder the terms:
2 + X + x + y + y = 43 + y

Combine like terms: y + y = 2y
2 + X + x + 2y = 43 + y

Solving
2 + X + x + 2y = 43 + y

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + X + x + -2 + 2y = 43 + -2 + y

Reorder the terms:
2 + -2 + X + x + 2y = 43 + -2 + y

Combine like terms: 2 + -2 = 0
0 + X + x + 2y = 43 + -2 + y
X + x + 2y = 43 + -2 + y

Combine like terms: 43 + -2 = 41
X + x + 2y = 41 + y

Add '-1x' to each side of the equation.
X + x + -1x + 2y = 41 + -1x + y

Combine like terms: x + -1x = 0
X + 0 + 2y = 41 + -1x + y
X + 2y = 41 + -1x + y

Add '-2y' to each side of the equation.
X + 2y + -2y = 41 + -1x + y + -2y

Combine like terms: 2y + -2y = 0
X + 0 = 41 + -1x + y + -2y
X = 41 + -1x + y + -2y

Combine like terms: y + -2y = -1y
X = 41 + -1x + -1y

Simplifying
X = 41 + -1x + -1y

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