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

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


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

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

Combine like terms: -16y + -1y = -17y
16 + -17y = -2(y + -3)

Reorder the terms:
16 + -17y = -2(-3 + y)
16 + -17y = (-3 * -2 + y * -2)
16 + -17y = (6 + -2y)

Solving
16 + -17y = 6 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
16 + -17y + 2y = 6 + -2y + 2y

Combine like terms: -17y + 2y = -15y
16 + -15y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
16 + -15y = 6 + 0
16 + -15y = 6

Add '-16' to each side of the equation.
16 + -16 + -15y = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -15y = 6 + -16
-15y = 6 + -16

Combine like terms: 6 + -16 = -10
-15y = -10

Divide each side by '-15'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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