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

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


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

Reorder the terms:
-4(-4 + 2y) + -1y = -3(y + -4)
(-4 * -4 + 2y * -4) + -1y = -3(y + -4)
(16 + -8y) + -1y = -3(y + -4)

Combine like terms: -8y + -1y = -9y
16 + -9y = -3(y + -4)

Reorder the terms:
16 + -9y = -3(-4 + y)
16 + -9y = (-4 * -3 + y * -3)
16 + -9y = (12 + -3y)

Solving
16 + -9y = 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.
16 + -9y + 3y = 12 + -3y + 3y

Combine like terms: -9y + 3y = -6y
16 + -6y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
16 + -6y = 12 + 0
16 + -6y = 12

Add '-16' to each side of the equation.
16 + -16 + -6y = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -6y = 12 + -16
-6y = 12 + -16

Combine like terms: 12 + -16 = -4
-6y = -4

Divide each side by '-6'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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