-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 = 11
9 + -6y = 11 + -9y

Solving
9 + -6y = 11 + -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 = 11 + -9y + 9y

Combine like terms: -6y + 9y = 3y
9 + 3y = 11 + -9y + 9y

Combine like terms: -9y + 9y = 0
9 + 3y = 11 + 0
9 + 3y = 11

Add '-9' to each side of the equation.
9 + -9 + 3y = 11 + -9

Combine like terms: 9 + -9 = 0
0 + 3y = 11 + -9
3y = 11 + -9

Combine like terms: 11 + -9 = 2
3y = 2

Divide each side by '3'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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