-3(4y-2)-y=-3(y-5)

Solution for -3(4y-2)-y=-3(y-5) equation:

Simplifying
-3(4y + -2) + -1y = -3(y + -5)

Reorder the terms:
-3(-2 + 4y) + -1y = -3(y + -5)
(-2 * -3 + 4y * -3) + -1y = -3(y + -5)
(6 + -12y) + -1y = -3(y + -5)

Combine like terms: -12y + -1y = -13y
6 + -13y = -3(y + -5)

Reorder the terms:
6 + -13y = -3(-5 + y)
6 + -13y = (-5 * -3 + y * -3)
6 + -13y = (15 + -3y)

Solving
6 + -13y = 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 + -13y + 3y = 15 + -3y + 3y

Combine like terms: -13y + 3y = -10y
6 + -10y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
6 + -10y = 15 + 0
6 + -10y = 15

Add '-6' to each side of the equation.
6 + -6 + -10y = 15 + -6

Combine like terms: 6 + -6 = 0
0 + -10y = 15 + -6
-10y = 15 + -6

Combine like terms: 15 + -6 = 9
-10y = 9

Divide each side by '-10'.
y = -0.9

Simplifying
y = -0.9