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

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


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

Reorder the terms:
-4(-4 + 3y) + -1y = -4(y + -2)
(-4 * -4 + 3y * -4) + -1y = -4(y + -2)
(16 + -12y) + -1y = -4(y + -2)

Combine like terms: -12y + -1y = -13y
16 + -13y = -4(y + -2)

Reorder the terms:
16 + -13y = -4(-2 + y)
16 + -13y = (-2 * -4 + y * -4)
16 + -13y = (8 + -4y)

Solving
16 + -13y = 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.
16 + -13y + 4y = 8 + -4y + 4y

Combine like terms: -13y + 4y = -9y
16 + -9y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
16 + -9y = 8 + 0
16 + -9y = 8

Add '-16' to each side of the equation.
16 + -16 + -9y = 8 + -16

Combine like terms: 16 + -16 = 0
0 + -9y = 8 + -16
-9y = 8 + -16

Combine like terms: 8 + -16 = -8
-9y = -8

Divide each side by '-9'.
y = 0.8888888889

Simplifying
y = 0.8888888889

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