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

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


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

Reorder the terms:
-4(-5 + 4y) + -1y = -4(y + -3)
(-5 * -4 + 4y * -4) + -1y = -4(y + -3)
(20 + -16y) + -1y = -4(y + -3)

Combine like terms: -16y + -1y = -17y
20 + -17y = -4(y + -3)

Reorder the terms:
20 + -17y = -4(-3 + y)
20 + -17y = (-3 * -4 + y * -4)
20 + -17y = (12 + -4y)

Solving
20 + -17y = 12 + -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 + -17y + 4y = 12 + -4y + 4y

Combine like terms: -17y + 4y = -13y
20 + -13y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
20 + -13y = 12 + 0
20 + -13y = 12

Add '-20' to each side of the equation.
20 + -20 + -13y = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -13y = 12 + -20
-13y = 12 + -20

Combine like terms: 12 + -20 = -8
-13y = -8

Divide each side by '-13'.
y = 0.6153846154

Simplifying
y = 0.6153846154

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