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

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

Simplifying
3(3 + y) = 2(y + -3)
(3 * 3 + y * 3) = 2(y + -3)
(9 + 3y) = 2(y + -3)

Reorder the terms:
9 + 3y = 2(-3 + y)
9 + 3y = (-3 * 2 + y * 2)
9 + 3y = (-6 + 2y)

Solving
9 + 3y = -6 + 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.
9 + 3y + -2y = -6 + 2y + -2y

Combine like terms: 3y + -2y = 1y
9 + 1y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
9 + 1y = -6 + 0
9 + 1y = -6

Add '-9' to each side of the equation.
9 + -9 + 1y = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 1y = -6 + -9
1y = -6 + -9

Combine like terms: -6 + -9 = -15
1y = -15

Divide each side by '1'.
y = -15

Simplifying
y = -15