-5(5y-10)-y=-4(y-5)

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Solution for -5(5y-10)-y=-4(y-5) equation: 


Simplifying
-5(5y + -10) + -1y = -4(y + -5)

Reorder the terms:
-5(-10 + 5y) + -1y = -4(y + -5)
(-10 * -5 + 5y * -5) + -1y = -4(y + -5)
(50 + -25y) + -1y = -4(y + -5)

Combine like terms: -25y + -1y = -26y
50 + -26y = -4(y + -5)

Reorder the terms:
50 + -26y = -4(-5 + y)
50 + -26y = (-5 * -4 + y * -4)
50 + -26y = (20 + -4y)

Solving
50 + -26y = 20 + -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.
50 + -26y + 4y = 20 + -4y + 4y

Combine like terms: -26y + 4y = -22y
50 + -22y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
50 + -22y = 20 + 0
50 + -22y = 20

Add '-50' to each side of the equation.
50 + -50 + -22y = 20 + -50

Combine like terms: 50 + -50 = 0
0 + -22y = 20 + -50
-22y = 20 + -50

Combine like terms: 20 + -50 = -30
-22y = -30

Divide each side by '-22'.
y = 1.363636364

Simplifying
y = 1.363636364

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