-5(2y-10)-y=-3(y-2)

Solution for -5(2y-10)-y=-3(y-2) equation:

Simplifying
-5(2y + -10) + -1y = -3(y + -2)

Reorder the terms:
-5(-10 + 2y) + -1y = -3(y + -2)
(-10 * -5 + 2y * -5) + -1y = -3(y + -2)
(50 + -10y) + -1y = -3(y + -2)

Combine like terms: -10y + -1y = -11y
50 + -11y = -3(y + -2)

Reorder the terms:
50 + -11y = -3(-2 + y)
50 + -11y = (-2 * -3 + y * -3)
50 + -11y = (6 + -3y)

Solving
50 + -11y = 6 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
50 + -11y + 3y = 6 + -3y + 3y

Combine like terms: -11y + 3y = -8y
50 + -8y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
50 + -8y = 6 + 0
50 + -8y = 6

Add '-50' to each side of the equation.
50 + -50 + -8y = 6 + -50

Combine like terms: 50 + -50 = 0
0 + -8y = 6 + -50
-8y = 6 + -50

Combine like terms: 6 + -50 = -44
-8y = -44

Divide each side by '-8'.
y = 5.5

Simplifying
y = 5.5