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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -2y = -6 + 6 + 3y

Combine like terms: -6 + 6 = 0
0 + -2y = -6 + 6 + 3y
-2y = -6 + 6 + 3y

Combine like terms: -6 + 6 = 0
-2y = 0 + 3y
-2y = 3y

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

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

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

Divide each side by '-5'.
y = 0

Simplifying
y = 0