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

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

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

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

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

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

Solving
50 + -11y = 6 + -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.
50 + -11y + 2y = 6 + -2y + 2y

Combine like terms: -11y + 2y = -9y
50 + -9y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
50 + -9y = 6 + 0
50 + -9y = 6

Add '-50' to each side of the equation.
50 + -50 + -9y = 6 + -50

Combine like terms: 50 + -50 = 0
0 + -9y = 6 + -50
-9y = 6 + -50

Combine like terms: 6 + -50 = -44
-9y = -44

Divide each side by '-9'.
y = 4.888888889

Simplifying
y = 4.888888889