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

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

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

Reorder the terms:
-4(-10 + 5y) + -1y = -4(y + -5)
(-10 * -4 + 5y * -4) + -1y = -4(y + -5)
(40 + -20y) + -1y = -4(y + -5)

Combine like terms: -20y + -1y = -21y
40 + -21y = -4(y + -5)

Reorder the terms:
40 + -21y = -4(-5 + y)
40 + -21y = (-5 * -4 + y * -4)
40 + -21y = (20 + -4y)

Solving
40 + -21y = 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.
40 + -21y + 4y = 20 + -4y + 4y

Combine like terms: -21y + 4y = -17y
40 + -17y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
40 + -17y = 20 + 0
40 + -17y = 20

Add '-40' to each side of the equation.
40 + -40 + -17y = 20 + -40

Combine like terms: 40 + -40 = 0
0 + -17y = 20 + -40
-17y = 20 + -40

Combine like terms: 20 + -40 = -20
-17y = -20

Divide each side by '-17'.
y = 1.176470588

Simplifying
y = 1.176470588