-4(6y-8)-y=-4(y-4)

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Solution for -4(6y-8)-y=-4(y-4) equation: 


Simplifying
-4(6y + -8) + -1y = -4(y + -4)

Reorder the terms:
-4(-8 + 6y) + -1y = -4(y + -4)
(-8 * -4 + 6y * -4) + -1y = -4(y + -4)
(32 + -24y) + -1y = -4(y + -4)

Combine like terms: -24y + -1y = -25y
32 + -25y = -4(y + -4)

Reorder the terms:
32 + -25y = -4(-4 + y)
32 + -25y = (-4 * -4 + y * -4)
32 + -25y = (16 + -4y)

Solving
32 + -25y = 16 + -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.
32 + -25y + 4y = 16 + -4y + 4y

Combine like terms: -25y + 4y = -21y
32 + -21y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
32 + -21y = 16 + 0
32 + -21y = 16

Add '-32' to each side of the equation.
32 + -32 + -21y = 16 + -32

Combine like terms: 32 + -32 = 0
0 + -21y = 16 + -32
-21y = 16 + -32

Combine like terms: 16 + -32 = -16
-21y = -16

Divide each side by '-21'.
y = 0.7619047619

Simplifying
y = 0.7619047619

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