3[-2y-6(2-y)+3]-15y=

Solution for 3[-2y-6(2-y)+3]-15y= equation:

Simplifying
3[-2y + -6(2 + -1y) + 3] + -15y = 0
3[-2y + (2 * -6 + -1y * -6) + 3] + -15y = 0
3[-2y + (-12 + 6y) + 3] + -15y = 0

Reorder the terms:
3[-12 + 3 + -2y + 6y] + -15y = 0

Combine like terms: -12 + 3 = -9
3[-9 + -2y + 6y] + -15y = 0

Combine like terms: -2y + 6y = 4y
3[-9 + 4y] + -15y = 0
[-9 * 3 + 4y * 3] + -15y = 0
[-27 + 12y] + -15y = 0

Combine like terms: 12y + -15y = -3y
-27 + -3y = 0

Solving
-27 + -3y = 0

Solving for variable 'y'.

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

Add '27' to each side of the equation.
-27 + 27 + -3y = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -3y = 0 + 27
-3y = 0 + 27

Combine like terms: 0 + 27 = 27
-3y = 27

Divide each side by '-3'.
y = -9

Simplifying
y = -9