13-(2y+2)-3y+2(y+2)=9

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Solution for 13-(2y+2)-3y+2(y+2)=9 equation: 


Simplifying
13 + -1(2y + 2) + -3y + 2(y + 2) = 9

Reorder the terms:
13 + -1(2 + 2y) + -3y + 2(y + 2) = 9
13 + (2 * -1 + 2y * -1) + -3y + 2(y + 2) = 9
13 + (-2 + -2y) + -3y + 2(y + 2) = 9

Reorder the terms:
13 + -2 + -2y + -3y + 2(2 + y) = 9
13 + -2 + -2y + -3y + (2 * 2 + y * 2) = 9
13 + -2 + -2y + -3y + (4 + 2y) = 9

Reorder the terms:
13 + -2 + 4 + -2y + -3y + 2y = 9

Combine like terms: 13 + -2 = 11
11 + 4 + -2y + -3y + 2y = 9

Combine like terms: 11 + 4 = 15
15 + -2y + -3y + 2y = 9

Combine like terms: -2y + -3y = -5y
15 + -5y + 2y = 9

Combine like terms: -5y + 2y = -3y
15 + -3y = 9

Solving
15 + -3y = 9

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + -3y = 9 + -15

Combine like terms: 15 + -15 = 0
0 + -3y = 9 + -15
-3y = 9 + -15

Combine like terms: 9 + -15 = -6
-3y = -6

Divide each side by '-3'.
y = 2

Simplifying
y = 2

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