3(3y+2)+5=2(2y-2)

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Solution for 3(3y+2)+5=2(2y-2) equation: 


Simplifying
3(3y + 2) + 5 = 2(2y + -2)

Reorder the terms:
3(2 + 3y) + 5 = 2(2y + -2)
(2 * 3 + 3y * 3) + 5 = 2(2y + -2)
(6 + 9y) + 5 = 2(2y + -2)

Reorder the terms:
6 + 5 + 9y = 2(2y + -2)

Combine like terms: 6 + 5 = 11
11 + 9y = 2(2y + -2)

Reorder the terms:
11 + 9y = 2(-2 + 2y)
11 + 9y = (-2 * 2 + 2y * 2)
11 + 9y = (-4 + 4y)

Solving
11 + 9y = -4 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
11 + 9y + -4y = -4 + 4y + -4y

Combine like terms: 9y + -4y = 5y
11 + 5y = -4 + 4y + -4y

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

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

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

Combine like terms: -4 + -11 = -15
5y = -15

Divide each side by '5'.
y = -3

Simplifying
y = -3

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