-4(2-y+3y)=3(y-4)

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


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

Combine like terms: -1y + 3y = 2y
-4(2 + 2y) = 3(y + -4)
(2 * -4 + 2y * -4) = 3(y + -4)
(-8 + -8y) = 3(y + -4)

Reorder the terms:
-8 + -8y = 3(-4 + y)
-8 + -8y = (-4 * 3 + y * 3)
-8 + -8y = (-12 + 3y)

Solving
-8 + -8y = -12 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-8 + -8y + -3y = -12 + 3y + -3y

Combine like terms: -8y + -3y = -11y
-8 + -11y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + -11y = -12 + 0
-8 + -11y = -12

Add '8' to each side of the equation.
-8 + 8 + -11y = -12 + 8

Combine like terms: -8 + 8 = 0
0 + -11y = -12 + 8
-11y = -12 + 8

Combine like terms: -12 + 8 = -4
-11y = -4

Divide each side by '-11'.
y = 0.3636363636

Simplifying
y = 0.3636363636

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