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

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

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

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

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

Solving
6 + 2y = -15 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
6 + 2y + -5y = -15 + 5y + -5y

Combine like terms: 2y + -5y = -3y
6 + -3y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -3y = -15 + 0
6 + -3y = -15

Add '-6' to each side of the equation.
6 + -6 + -3y = -15 + -6

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

Combine like terms: -15 + -6 = -21
-3y = -21

Divide each side by '-3'.
y = 7

Simplifying
y = 7