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

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


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

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

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

Combine like terms: 2 + 6 = 8
8 + 9y + 6y = 3(y + -2)

Combine like terms: 9y + 6y = 15y
8 + 15y = 3(y + -2)

Reorder the terms:
8 + 15y = 3(-2 + y)
8 + 15y = (-2 * 3 + y * 3)
8 + 15y = (-6 + 3y)

Solving
8 + 15y = -6 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
8 + 15y + -3y = -6 + 3y + -3y

Combine like terms: 15y + -3y = 12y
8 + 12y = -6 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + 12y = -6 + 0
8 + 12y = -6

Add '-8' to each side of the equation.
8 + -8 + 12y = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 12y = -6 + -8
12y = -6 + -8

Combine like terms: -6 + -8 = -14
12y = -14

Divide each side by '12'.
y = -1.166666667

Simplifying
y = -1.166666667

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