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

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


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

Reorder the terms:
-4(-5 + 6y) + -1y = -3(y + -4)
(-5 * -4 + 6y * -4) + -1y = -3(y + -4)
(20 + -24y) + -1y = -3(y + -4)

Combine like terms: -24y + -1y = -25y
20 + -25y = -3(y + -4)

Reorder the terms:
20 + -25y = -3(-4 + y)
20 + -25y = (-4 * -3 + y * -3)
20 + -25y = (12 + -3y)

Solving
20 + -25y = 12 + -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.
20 + -25y + 3y = 12 + -3y + 3y

Combine like terms: -25y + 3y = -22y
20 + -22y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
20 + -22y = 12 + 0
20 + -22y = 12

Add '-20' to each side of the equation.
20 + -20 + -22y = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -22y = 12 + -20
-22y = 12 + -20

Combine like terms: 12 + -20 = -8
-22y = -8

Divide each side by '-22'.
y = 0.3636363636

Simplifying
y = 0.3636363636

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