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

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

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

Reorder the terms:
-2(-3 + 5y) + -1y = -3(y + -2)
(-3 * -2 + 5y * -2) + -1y = -3(y + -2)
(6 + -10y) + -1y = -3(y + -2)

Combine like terms: -10y + -1y = -11y
6 + -11y = -3(y + -2)

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

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

Combine like terms: 6 + -6 = 0
0 + -11y = 6 + -6 + -3y
-11y = 6 + -6 + -3y

Combine like terms: 6 + -6 = 0
-11y = 0 + -3y
-11y = -3y

Solving
-11y = -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.
-11y + 3y = -3y + 3y

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

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

Divide each side by '-8'.
y = 0

Simplifying
y = 0