-2+2(-y+9)=3(6y+7)-3

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Solution for -2+2(-y+9)=3(6y+7)-3 equation: 


Simplifying
-2 + 2(-1y + 9) = 3(6y + 7) + -3

Reorder the terms:
-2 + 2(9 + -1y) = 3(6y + 7) + -3
-2 + (9 * 2 + -1y * 2) = 3(6y + 7) + -3
-2 + (18 + -2y) = 3(6y + 7) + -3

Combine like terms: -2 + 18 = 16
16 + -2y = 3(6y + 7) + -3

Reorder the terms:
16 + -2y = 3(7 + 6y) + -3
16 + -2y = (7 * 3 + 6y * 3) + -3
16 + -2y = (21 + 18y) + -3

Reorder the terms:
16 + -2y = 21 + -3 + 18y

Combine like terms: 21 + -3 = 18
16 + -2y = 18 + 18y

Solving
16 + -2y = 18 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
16 + -2y + -18y = 18 + 18y + -18y

Combine like terms: -2y + -18y = -20y
16 + -20y = 18 + 18y + -18y

Combine like terms: 18y + -18y = 0
16 + -20y = 18 + 0
16 + -20y = 18

Add '-16' to each side of the equation.
16 + -16 + -20y = 18 + -16

Combine like terms: 16 + -16 = 0
0 + -20y = 18 + -16
-20y = 18 + -16

Combine like terms: 18 + -16 = 2
-20y = 2

Divide each side by '-20'.
y = -0.1

Simplifying
y = -0.1

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