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

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

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

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

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

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

Solving for variable 'y'.

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

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

Combine like terms: -3y + 2y = -1y
-3 + -1y = 2 + -2y + 2y

Combine like terms: -2y + 2y = 0
-3 + -1y = 2 + 0
-3 + -1y = 2

Add '3' to each side of the equation.
-3 + 3 + -1y = 2 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 2 + 3
-1y = 2 + 3

Combine like terms: 2 + 3 = 5
-1y = 5

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

Simplifying
y = -5