2(x+y)=2x+y

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


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

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

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

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

Solving
2y = 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.
2y + -1y = y + -1y

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

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

Divide each side by '1'.
y = 0

Simplifying
y = 0

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