6(y+2)+3(2y-3)=39

Solution for 6(y+2)+3(2y-3)=39 equation:

Simplifying
6(y + 2) + 3(2y + -3) = 39

Reorder the terms:
6(2 + y) + 3(2y + -3) = 39
(2 * 6 + y * 6) + 3(2y + -3) = 39
(12 + 6y) + 3(2y + -3) = 39

Reorder the terms:
12 + 6y + 3(-3 + 2y) = 39
12 + 6y + (-3 * 3 + 2y * 3) = 39
12 + 6y + (-9 + 6y) = 39

Reorder the terms:
12 + -9 + 6y + 6y = 39

Combine like terms: 12 + -9 = 3
3 + 6y + 6y = 39

Combine like terms: 6y + 6y = 12y
3 + 12y = 39

Solving
3 + 12y = 39

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 12y = 39 + -3

Combine like terms: 3 + -3 = 0
0 + 12y = 39 + -3
12y = 39 + -3

Combine like terms: 39 + -3 = 36
12y = 36

Divide each side by '12'.
y = 3

Simplifying
y = 3