-4(2y-8)-y=-3(y-5)

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Solution for -4(2y-8)-y=-3(y-5) equation: 


Simplifying
-4(2y + -8) + -1y = -3(y + -5)

Reorder the terms:
-4(-8 + 2y) + -1y = -3(y + -5)
(-8 * -4 + 2y * -4) + -1y = -3(y + -5)
(32 + -8y) + -1y = -3(y + -5)

Combine like terms: -8y + -1y = -9y
32 + -9y = -3(y + -5)

Reorder the terms:
32 + -9y = -3(-5 + y)
32 + -9y = (-5 * -3 + y * -3)
32 + -9y = (15 + -3y)

Solving
32 + -9y = 15 + -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 = 15 + -3y + 3y

Combine like terms: -9y + 3y = -6y
32 + -6y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
32 + -6y = 15 + 0
32 + -6y = 15

Add '-32' to each side of the equation.
32 + -32 + -6y = 15 + -32

Combine like terms: 32 + -32 = 0
0 + -6y = 15 + -32
-6y = 15 + -32

Combine like terms: 15 + -32 = -17
-6y = -17

Divide each side by '-6'.
y = 2.833333333

Simplifying
y = 2.833333333

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