3(3y+3)-(2y-7)=-2

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Solution for 3(3y+3)-(2y-7)=-2 equation: 


Simplifying
3(3y + 3) + -1(2y + -7) = -2

Reorder the terms:
3(3 + 3y) + -1(2y + -7) = -2
(3 * 3 + 3y * 3) + -1(2y + -7) = -2
(9 + 9y) + -1(2y + -7) = -2

Reorder the terms:
9 + 9y + -1(-7 + 2y) = -2
9 + 9y + (-7 * -1 + 2y * -1) = -2
9 + 9y + (7 + -2y) = -2

Reorder the terms:
9 + 7 + 9y + -2y = -2

Combine like terms: 9 + 7 = 16
16 + 9y + -2y = -2

Combine like terms: 9y + -2y = 7y
16 + 7y = -2

Solving
16 + 7y = -2

Solving for variable 'y'.

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

Add '-16' to each side of the equation.
16 + -16 + 7y = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 7y = -2 + -16
7y = -2 + -16

Combine like terms: -2 + -16 = -18
7y = -18

Divide each side by '7'.
y = -2.571428571

Simplifying
y = -2.571428571

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