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

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


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

Reorder the terms:
-4(-5 + 4y) + -1y = -2(y + -2)
(-5 * -4 + 4y * -4) + -1y = -2(y + -2)
(20 + -16y) + -1y = -2(y + -2)

Combine like terms: -16y + -1y = -17y
20 + -17y = -2(y + -2)

Reorder the terms:
20 + -17y = -2(-2 + y)
20 + -17y = (-2 * -2 + y * -2)
20 + -17y = (4 + -2y)

Solving
20 + -17y = 4 + -2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '2y' to each side of the equation.
20 + -17y + 2y = 4 + -2y + 2y

Combine like terms: -17y + 2y = -15y
20 + -15y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
20 + -15y = 4 + 0
20 + -15y = 4

Add '-20' to each side of the equation.
20 + -20 + -15y = 4 + -20

Combine like terms: 20 + -20 = 0
0 + -15y = 4 + -20
-15y = 4 + -20

Combine like terms: 4 + -20 = -16
-15y = -16

Divide each side by '-15'.
y = 1.066666667

Simplifying
y = 1.066666667

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