2(y-5)=x+y

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Solution for 2(y-5)=x+y equation: 


Simplifying
2(y + -5) = x + y

Reorder the terms:
2(-5 + y) = x + y
(-5 * 2 + y * 2) = x + y
(-10 + 2y) = x + y

Solving
-10 + 2y = x + 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.
-10 + 2y + -1y = x + y + -1y

Combine like terms: 2y + -1y = 1y
-10 + 1y = x + y + -1y

Combine like terms: y + -1y = 0
-10 + 1y = x + 0
-10 + 1y = x

Add '10' to each side of the equation.
-10 + 10 + 1y = 10 + x

Combine like terms: -10 + 10 = 0
0 + 1y = 10 + x
1y = 10 + x

Divide each side by '1'.
y = 10 + x

Simplifying
y = 10 + x

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