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

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


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

Reorder the terms:
-4(-5 + 3y) + -1y = -4(y + -4)
(-5 * -4 + 3y * -4) + -1y = -4(y + -4)
(20 + -12y) + -1y = -4(y + -4)

Combine like terms: -12y + -1y = -13y
20 + -13y = -4(y + -4)

Reorder the terms:
20 + -13y = -4(-4 + y)
20 + -13y = (-4 * -4 + y * -4)
20 + -13y = (16 + -4y)

Solving
20 + -13y = 16 + -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.
20 + -13y + 4y = 16 + -4y + 4y

Combine like terms: -13y + 4y = -9y
20 + -9y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
20 + -9y = 16 + 0
20 + -9y = 16

Add '-20' to each side of the equation.
20 + -20 + -9y = 16 + -20

Combine like terms: 20 + -20 = 0
0 + -9y = 16 + -20
-9y = 16 + -20

Combine like terms: 16 + -20 = -4
-9y = -4

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

Simplifying
y = 0.4444444444

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