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

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

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

Reorder the terms:
-2(-3 + 2y) + -1y = -3(y + -5)
(-3 * -2 + 2y * -2) + -1y = -3(y + -5)
(6 + -4y) + -1y = -3(y + -5)

Combine like terms: -4y + -1y = -5y
6 + -5y = -3(y + -5)

Reorder the terms:
6 + -5y = -3(-5 + y)
6 + -5y = (-5 * -3 + y * -3)
6 + -5y = (15 + -3y)

Solving
6 + -5y = 15 + -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.
6 + -5y + 3y = 15 + -3y + 3y

Combine like terms: -5y + 3y = -2y
6 + -2y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
6 + -2y = 15 + 0
6 + -2y = 15

Add '-6' to each side of the equation.
6 + -6 + -2y = 15 + -6

Combine like terms: 6 + -6 = 0
0 + -2y = 15 + -6
-2y = 15 + -6

Combine like terms: 15 + -6 = 9
-2y = 9

Divide each side by '-2'.
y = -4.5

Simplifying
y = -4.5