-3(-5y+6)-7y=2(y-9)-8

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Solution for -3(-5y+6)-7y=2(y-9)-8 equation: 


Simplifying
-3(-5y + 6) + -7y = 2(y + -9) + -8

Reorder the terms:
-3(6 + -5y) + -7y = 2(y + -9) + -8
(6 * -3 + -5y * -3) + -7y = 2(y + -9) + -8
(-18 + 15y) + -7y = 2(y + -9) + -8

Combine like terms: 15y + -7y = 8y
-18 + 8y = 2(y + -9) + -8

Reorder the terms:
-18 + 8y = 2(-9 + y) + -8
-18 + 8y = (-9 * 2 + y * 2) + -8
-18 + 8y = (-18 + 2y) + -8

Reorder the terms:
-18 + 8y = -18 + -8 + 2y

Combine like terms: -18 + -8 = -26
-18 + 8y = -26 + 2y

Solving
-18 + 8y = -26 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-18 + 8y + -2y = -26 + 2y + -2y

Combine like terms: 8y + -2y = 6y
-18 + 6y = -26 + 2y + -2y

Combine like terms: 2y + -2y = 0
-18 + 6y = -26 + 0
-18 + 6y = -26

Add '18' to each side of the equation.
-18 + 18 + 6y = -26 + 18

Combine like terms: -18 + 18 = 0
0 + 6y = -26 + 18
6y = -26 + 18

Combine like terms: -26 + 18 = -8
6y = -8

Divide each side by '6'.
y = -1.333333333

Simplifying
y = -1.333333333

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