-4(2y-8)-y=-3(y-3)

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Solution for -4(2y-8)-y=-3(y-3) equation: 


Simplifying
-4(2y + -8) + -1y = -3(y + -3)

Reorder the terms:
-4(-8 + 2y) + -1y = -3(y + -3)
(-8 * -4 + 2y * -4) + -1y = -3(y + -3)
(32 + -8y) + -1y = -3(y + -3)

Combine like terms: -8y + -1y = -9y
32 + -9y = -3(y + -3)

Reorder the terms:
32 + -9y = -3(-3 + y)
32 + -9y = (-3 * -3 + y * -3)
32 + -9y = (9 + -3y)

Solving
32 + -9y = 9 + -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.
32 + -9y + 3y = 9 + -3y + 3y

Combine like terms: -9y + 3y = -6y
32 + -6y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
32 + -6y = 9 + 0
32 + -6y = 9

Add '-32' to each side of the equation.
32 + -32 + -6y = 9 + -32

Combine like terms: 32 + -32 = 0
0 + -6y = 9 + -32
-6y = 9 + -32

Combine like terms: 9 + -32 = -23
-6y = -23

Divide each side by '-6'.
y = 3.833333333

Simplifying
y = 3.833333333

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