-4(-3y+2)-3y=3(y-1)-7

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Solution for -4(-3y+2)-3y=3(y-1)-7 equation: 


Simplifying
-4(-3y + 2) + -3y = 3(y + -1) + -7

Reorder the terms:
-4(2 + -3y) + -3y = 3(y + -1) + -7
(2 * -4 + -3y * -4) + -3y = 3(y + -1) + -7
(-8 + 12y) + -3y = 3(y + -1) + -7

Combine like terms: 12y + -3y = 9y
-8 + 9y = 3(y + -1) + -7

Reorder the terms:
-8 + 9y = 3(-1 + y) + -7
-8 + 9y = (-1 * 3 + y * 3) + -7
-8 + 9y = (-3 + 3y) + -7

Reorder the terms:
-8 + 9y = -3 + -7 + 3y

Combine like terms: -3 + -7 = -10
-8 + 9y = -10 + 3y

Solving
-8 + 9y = -10 + 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 + 9y + -3y = -10 + 3y + -3y

Combine like terms: 9y + -3y = 6y
-8 + 6y = -10 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + 6y = -10 + 0
-8 + 6y = -10

Add '8' to each side of the equation.
-8 + 8 + 6y = -10 + 8

Combine like terms: -8 + 8 = 0
0 + 6y = -10 + 8
6y = -10 + 8

Combine like terms: -10 + 8 = -2
6y = -2

Divide each side by '6'.
y = -0.3333333333

Simplifying
y = -0.3333333333

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