-4(3y-6)-y=-4(y-5)

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Solution for -4(3y-6)-y=-4(y-5) equation:


Simplifying
-4(3y + -6) + -1y = -4(y + -5)

Reorder the terms:
-4(-6 + 3y) + -1y = -4(y + -5)
(-6 * -4 + 3y * -4) + -1y = -4(y + -5)
(24 + -12y) + -1y = -4(y + -5)

Combine like terms: -12y + -1y = -13y
24 + -13y = -4(y + -5)

Reorder the terms:
24 + -13y = -4(-5 + y)
24 + -13y = (-5 * -4 + y * -4)
24 + -13y = (20 + -4y)

Solving
24 + -13y = 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 + -13y + 4y = 20 + -4y + 4y

Combine like terms: -13y + 4y = -9y
24 + -9y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
24 + -9y = 20 + 0
24 + -9y = 20

Add '-24' to each side of the equation.
24 + -24 + -9y = 20 + -24

Combine like terms: 24 + -24 = 0
0 + -9y = 20 + -24
-9y = 20 + -24

Combine like terms: 20 + -24 = -4
-9y = -4

Divide each side by '-9'.
y = 0.4444444444

Simplifying
y = 0.4444444444

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