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

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

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

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

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

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

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

Combine like terms: 2y + -2y = 0
-3 + 1y = 6 + 0
-3 + 1y = 6

Add '3' to each side of the equation.
-3 + 3 + 1y = 6 + 3

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

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

Divide each side by '1'.
y = 9

Simplifying
y = 9