3(2y+1)=-3(y-1)-45

Solution for 3(2y+1)=-3(y-1)-45 equation:

Simplifying
3(2y + 1) = -3(y + -1) + -45

Reorder the terms:
3(1 + 2y) = -3(y + -1) + -45
(1 * 3 + 2y * 3) = -3(y + -1) + -45
(3 + 6y) = -3(y + -1) + -45

Reorder the terms:
3 + 6y = -3(-1 + y) + -45
3 + 6y = (-1 * -3 + y * -3) + -45
3 + 6y = (3 + -3y) + -45

Reorder the terms:
3 + 6y = 3 + -45 + -3y

Combine like terms: 3 + -45 = -42
3 + 6y = -42 + -3y

Solving
3 + 6y = -42 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
3 + 6y + 3y = -42 + -3y + 3y

Combine like terms: 6y + 3y = 9y
3 + 9y = -42 + -3y + 3y

Combine like terms: -3y + 3y = 0
3 + 9y = -42 + 0
3 + 9y = -42

Add '-3' to each side of the equation.
3 + -3 + 9y = -42 + -3

Combine like terms: 3 + -3 = 0
0 + 9y = -42 + -3
9y = -42 + -3

Combine like terms: -42 + -3 = -45
9y = -45

Divide each side by '9'.
y = -5

Simplifying
y = -5