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

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


Simplifying
3(4 + -3y) + -2(1 + -1y) = 4y + -8
(4 * 3 + -3y * 3) + -2(1 + -1y) = 4y + -8
(12 + -9y) + -2(1 + -1y) = 4y + -8
12 + -9y + (1 * -2 + -1y * -2) = 4y + -8
12 + -9y + (-2 + 2y) = 4y + -8

Reorder the terms:
12 + -2 + -9y + 2y = 4y + -8

Combine like terms: 12 + -2 = 10
10 + -9y + 2y = 4y + -8

Combine like terms: -9y + 2y = -7y
10 + -7y = 4y + -8

Reorder the terms:
10 + -7y = -8 + 4y

Solving
10 + -7y = -8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
10 + -7y + -4y = -8 + 4y + -4y

Combine like terms: -7y + -4y = -11y
10 + -11y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
10 + -11y = -8 + 0
10 + -11y = -8

Add '-10' to each side of the equation.
10 + -10 + -11y = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -11y = -8 + -10
-11y = -8 + -10

Combine like terms: -8 + -10 = -18
-11y = -18

Divide each side by '-11'.
y = 1.636363636

Simplifying
y = 1.636363636

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