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

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


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

Reorder the terms:
-4(-5 + 2y) + -1y = -4(y + -2)
(-5 * -4 + 2y * -4) + -1y = -4(y + -2)
(20 + -8y) + -1y = -4(y + -2)

Combine like terms: -8y + -1y = -9y
20 + -9y = -4(y + -2)

Reorder the terms:
20 + -9y = -4(-2 + y)
20 + -9y = (-2 * -4 + y * -4)
20 + -9y = (8 + -4y)

Solving
20 + -9y = 8 + -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 + -9y + 4y = 8 + -4y + 4y

Combine like terms: -9y + 4y = -5y
20 + -5y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
20 + -5y = 8 + 0
20 + -5y = 8

Add '-20' to each side of the equation.
20 + -20 + -5y = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -5y = 8 + -20
-5y = 8 + -20

Combine like terms: 8 + -20 = -12
-5y = -12

Divide each side by '-5'.
y = 2.4

Simplifying
y = 2.4

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