2(y+3)=3(y-5)

Solution for 2(y+3)=3(y-5) equation:

Simplifying
2(y + 3) = 3(y + -5)

Reorder the terms:
2(3 + y) = 3(y + -5)
(3 * 2 + y * 2) = 3(y + -5)
(6 + 2y) = 3(y + -5)

Reorder the terms:
6 + 2y = 3(-5 + y)
6 + 2y = (-5 * 3 + y * 3)
6 + 2y = (-15 + 3y)

Solving
6 + 2y = -15 + 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.
6 + 2y + -3y = -15 + 3y + -3y

Combine like terms: 2y + -3y = -1y
6 + -1y = -15 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + -1y = -15 + 0
6 + -1y = -15

Add '-6' to each side of the equation.
6 + -6 + -1y = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = -15 + -6
-1y = -15 + -6

Combine like terms: -15 + -6 = -21
-1y = -21

Divide each side by '-1'.
y = 21

Simplifying
y = 21