-3(2y-3)=3(1-3y)-8

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Solution for -3(2y-3)=3(1-3y)-8 equation: 


Simplifying
-3(2y + -3) = 3(1 + -3y) + -8

Reorder the terms:
-3(-3 + 2y) = 3(1 + -3y) + -8
(-3 * -3 + 2y * -3) = 3(1 + -3y) + -8
(9 + -6y) = 3(1 + -3y) + -8
9 + -6y = (1 * 3 + -3y * 3) + -8
9 + -6y = (3 + -9y) + -8

Reorder the terms:
9 + -6y = 3 + -8 + -9y

Combine like terms: 3 + -8 = -5
9 + -6y = -5 + -9y

Solving
9 + -6y = -5 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
9 + -6y + 9y = -5 + -9y + 9y

Combine like terms: -6y + 9y = 3y
9 + 3y = -5 + -9y + 9y

Combine like terms: -9y + 9y = 0
9 + 3y = -5 + 0
9 + 3y = -5

Add '-9' to each side of the equation.
9 + -9 + 3y = -5 + -9

Combine like terms: 9 + -9 = 0
0 + 3y = -5 + -9
3y = -5 + -9

Combine like terms: -5 + -9 = -14
3y = -14

Divide each side by '3'.
y = -4.666666667

Simplifying
y = -4.666666667

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