-3(y-3y)+6=-2(6y-y)+4+15y

Solution for -3(y-3y)+6=-2(6y-y)+4+15y equation:

Simplifying
-3(y + -3y) + 6 = -2(6y + -1y) + 4 + 15y

Combine like terms: y + -3y = -2y
-3(-2y) + 6 = -2(6y + -1y) + 4 + 15y

Remove parenthesis around (-2y)
-3 * -2y + 6 = -2(6y + -1y) + 4 + 15y

Multiply -3 * -2
6y + 6 = -2(6y + -1y) + 4 + 15y

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

Combine like terms: 6y + -1y = 5y
6 + 6y = -2(5y) + 4 + 15y

Remove parenthesis around (5y)
6 + 6y = -2 * 5y + 4 + 15y

Multiply -2 * 5
6 + 6y = -10y + 4 + 15y

Reorder the terms:
6 + 6y = 4 + -10y + 15y

Combine like terms: -10y + 15y = 5y
6 + 6y = 4 + 5y

Solving
6 + 6y = 4 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
6 + 6y + -5y = 4 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
6 + 1y = 4 + 0
6 + 1y = 4

Add '-6' to each side of the equation.
6 + -6 + 1y = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 4 + -6
1y = 4 + -6

Combine like terms: 4 + -6 = -2
1y = -2

Divide each side by '1'.
y = -2

Simplifying
y = -2