13-(2y+2)=2(y+2)+3y

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Solution for 13-(2y+2)=2(y+2)+3y equation: 


Simplifying
13 + -1(2y + 2) = 2(y + 2) + 3y

Reorder the terms:
13 + -1(2 + 2y) = 2(y + 2) + 3y
13 + (2 * -1 + 2y * -1) = 2(y + 2) + 3y
13 + (-2 + -2y) = 2(y + 2) + 3y

Combine like terms: 13 + -2 = 11
11 + -2y = 2(y + 2) + 3y

Reorder the terms:
11 + -2y = 2(2 + y) + 3y
11 + -2y = (2 * 2 + y * 2) + 3y
11 + -2y = (4 + 2y) + 3y

Combine like terms: 2y + 3y = 5y
11 + -2y = 4 + 5y

Solving
11 + -2y = 4 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
11 + -2y + -5y = 4 + 5y + -5y

Combine like terms: -2y + -5y = -7y
11 + -7y = 4 + 5y + -5y

Combine like terms: 5y + -5y = 0
11 + -7y = 4 + 0
11 + -7y = 4

Add '-11' to each side of the equation.
11 + -11 + -7y = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -7y = 4 + -11
-7y = 4 + -11

Combine like terms: 4 + -11 = -7
-7y = -7

Divide each side by '-7'.
y = 1

Simplifying
y = 1

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