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

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

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

Reorder the terms:
2(2 + y) = -3(y + -1)
(2 * 2 + y * 2) = -3(y + -1)
(4 + 2y) = -3(y + -1)

Reorder the terms:
4 + 2y = -3(-1 + y)
4 + 2y = (-1 * -3 + y * -3)
4 + 2y = (3 + -3y)

Solving
4 + 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.
4 + 2y + 3y = 3 + -3y + 3y

Combine like terms: 2y + 3y = 5y
4 + 5y = 3 + -3y + 3y

Combine like terms: -3y + 3y = 0
4 + 5y = 3 + 0
4 + 5y = 3

Add '-4' to each side of the equation.
4 + -4 + 5y = 3 + -4

Combine like terms: 4 + -4 = 0
0 + 5y = 3 + -4
5y = 3 + -4

Combine like terms: 3 + -4 = -1
5y = -1

Divide each side by '5'.
y = -0.2

Simplifying
y = -0.2