3y+3(1+-1y)+-y=-6

Solution for 3y+3(1+-1y)+-y=-6 equation:

Simplifying
3y + 3(1 + -1y) + -1y = -6
3y + (1 * 3 + -1y * 3) + -1y = -6
3y + (3 + -3y) + -1y = -6

Reorder the terms:
3 + 3y + -3y + -1y = -6

Combine like terms: 3y + -3y = 0
3 + 0 + -1y = -6
3 + -1y = -6

Solving
3 + -1y = -6

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + -1y = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = -6 + -3
-1y = -6 + -3

Combine like terms: -6 + -3 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9