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

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

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

Reorder the terms:
-3(-2 + 5y) + -1y = -4(y + -3)
(-2 * -3 + 5y * -3) + -1y = -4(y + -3)
(6 + -15y) + -1y = -4(y + -3)

Combine like terms: -15y + -1y = -16y
6 + -16y = -4(y + -3)

Reorder the terms:
6 + -16y = -4(-3 + y)
6 + -16y = (-3 * -4 + y * -4)
6 + -16y = (12 + -4y)

Solving
6 + -16y = 12 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
6 + -16y + 4y = 12 + -4y + 4y

Combine like terms: -16y + 4y = -12y
6 + -12y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
6 + -12y = 12 + 0
6 + -12y = 12

Add '-6' to each side of the equation.
6 + -6 + -12y = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -12y = 12 + -6
-12y = 12 + -6

Combine like terms: 12 + -6 = 6
-12y = 6

Divide each side by '-12'.
y = -0.5

Simplifying
y = -0.5