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

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

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

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

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

Solving
2 + 2y = -3 + -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.
2 + 2y + 3y = -3 + -3y + 3y

Combine like terms: 2y + 3y = 5y
2 + 5y = -3 + -3y + 3y

Combine like terms: -3y + 3y = 0
2 + 5y = -3 + 0
2 + 5y = -3

Add '-2' to each side of the equation.
2 + -2 + 5y = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 5y = -3 + -2
5y = -3 + -2

Combine like terms: -3 + -2 = -5
5y = -5

Divide each side by '5'.
y = -1

Simplifying
y = -1