3(3y+2)=-6(y-1)-75

Solution for 3(3y+2)=-6(y-1)-75 equation:

Simplifying
3(3y + 2) = -6(y + -1) + -75

Reorder the terms:
3(2 + 3y) = -6(y + -1) + -75
(2 * 3 + 3y * 3) = -6(y + -1) + -75
(6 + 9y) = -6(y + -1) + -75

Reorder the terms:
6 + 9y = -6(-1 + y) + -75
6 + 9y = (-1 * -6 + y * -6) + -75
6 + 9y = (6 + -6y) + -75

Reorder the terms:
6 + 9y = 6 + -75 + -6y

Combine like terms: 6 + -75 = -69
6 + 9y = -69 + -6y

Solving
6 + 9y = -69 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
6 + 9y + 6y = -69 + -6y + 6y

Combine like terms: 9y + 6y = 15y
6 + 15y = -69 + -6y + 6y

Combine like terms: -6y + 6y = 0
6 + 15y = -69 + 0
6 + 15y = -69

Add '-6' to each side of the equation.
6 + -6 + 15y = -69 + -6

Combine like terms: 6 + -6 = 0
0 + 15y = -69 + -6
15y = -69 + -6

Combine like terms: -69 + -6 = -75
15y = -75

Divide each side by '15'.
y = -5

Simplifying
y = -5