12+2(5-3y)=-9(y-1)-2

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Solution for 12+2(5-3y)=-9(y-1)-2 equation: 


Simplifying
12 + 2(5 + -3y) = -9(y + -1) + -2
12 + (5 * 2 + -3y * 2) = -9(y + -1) + -2
12 + (10 + -6y) = -9(y + -1) + -2

Combine like terms: 12 + 10 = 22
22 + -6y = -9(y + -1) + -2

Reorder the terms:
22 + -6y = -9(-1 + y) + -2
22 + -6y = (-1 * -9 + y * -9) + -2
22 + -6y = (9 + -9y) + -2

Reorder the terms:
22 + -6y = 9 + -2 + -9y

Combine like terms: 9 + -2 = 7
22 + -6y = 7 + -9y

Solving
22 + -6y = 7 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
22 + -6y + 9y = 7 + -9y + 9y

Combine like terms: -6y + 9y = 3y
22 + 3y = 7 + -9y + 9y

Combine like terms: -9y + 9y = 0
22 + 3y = 7 + 0
22 + 3y = 7

Add '-22' to each side of the equation.
22 + -22 + 3y = 7 + -22

Combine like terms: 22 + -22 = 0
0 + 3y = 7 + -22
3y = 7 + -22

Combine like terms: 7 + -22 = -15
3y = -15

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

Simplifying
y = -5

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