-4(-7y+6)-9y=7(y-3)-7

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Solution for -4(-7y+6)-9y=7(y-3)-7 equation: 


Simplifying
-4(-7y + 6) + -9y = 7(y + -3) + -7

Reorder the terms:
-4(6 + -7y) + -9y = 7(y + -3) + -7
(6 * -4 + -7y * -4) + -9y = 7(y + -3) + -7
(-24 + 28y) + -9y = 7(y + -3) + -7

Combine like terms: 28y + -9y = 19y
-24 + 19y = 7(y + -3) + -7

Reorder the terms:
-24 + 19y = 7(-3 + y) + -7
-24 + 19y = (-3 * 7 + y * 7) + -7
-24 + 19y = (-21 + 7y) + -7

Reorder the terms:
-24 + 19y = -21 + -7 + 7y

Combine like terms: -21 + -7 = -28
-24 + 19y = -28 + 7y

Solving
-24 + 19y = -28 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-24 + 19y + -7y = -28 + 7y + -7y

Combine like terms: 19y + -7y = 12y
-24 + 12y = -28 + 7y + -7y

Combine like terms: 7y + -7y = 0
-24 + 12y = -28 + 0
-24 + 12y = -28

Add '24' to each side of the equation.
-24 + 24 + 12y = -28 + 24

Combine like terms: -24 + 24 = 0
0 + 12y = -28 + 24
12y = -28 + 24

Combine like terms: -28 + 24 = -4
12y = -4

Divide each side by '12'.
y = -0.3333333333

Simplifying
y = -0.3333333333

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