-3(4y-3)=2(1-7y)+8

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Solution for -3(4y-3)=2(1-7y)+8 equation: 


Simplifying
-3(4y + -3) = 2(1 + -7y) + 8

Reorder the terms:
-3(-3 + 4y) = 2(1 + -7y) + 8
(-3 * -3 + 4y * -3) = 2(1 + -7y) + 8
(9 + -12y) = 2(1 + -7y) + 8
9 + -12y = (1 * 2 + -7y * 2) + 8
9 + -12y = (2 + -14y) + 8

Reorder the terms:
9 + -12y = 2 + 8 + -14y

Combine like terms: 2 + 8 = 10
9 + -12y = 10 + -14y

Solving
9 + -12y = 10 + -14y

Solving for variable 'y'.

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

Add '14y' to each side of the equation.
9 + -12y + 14y = 10 + -14y + 14y

Combine like terms: -12y + 14y = 2y
9 + 2y = 10 + -14y + 14y

Combine like terms: -14y + 14y = 0
9 + 2y = 10 + 0
9 + 2y = 10

Add '-9' to each side of the equation.
9 + -9 + 2y = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 2y = 10 + -9
2y = 10 + -9

Combine like terms: 10 + -9 = 1
2y = 1

Divide each side by '2'.
y = 0.5

Simplifying
y = 0.5

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