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

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


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

Reorder the terms:
-3(-8 + 2y) + -1y = -4(y + -5)
(-8 * -3 + 2y * -3) + -1y = -4(y + -5)
(24 + -6y) + -1y = -4(y + -5)

Combine like terms: -6y + -1y = -7y
24 + -7y = -4(y + -5)

Reorder the terms:
24 + -7y = -4(-5 + y)
24 + -7y = (-5 * -4 + y * -4)
24 + -7y = (20 + -4y)

Solving
24 + -7y = 20 + -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.
24 + -7y + 4y = 20 + -4y + 4y

Combine like terms: -7y + 4y = -3y
24 + -3y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
24 + -3y = 20 + 0
24 + -3y = 20

Add '-24' to each side of the equation.
24 + -24 + -3y = 20 + -24

Combine like terms: 24 + -24 = 0
0 + -3y = 20 + -24
-3y = 20 + -24

Combine like terms: 20 + -24 = -4
-3y = -4

Divide each side by '-3'.
y = 1.333333333

Simplifying
y = 1.333333333

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