3(y+4)-6=45

Solution for 3(y+4)-6=45 equation:

Simplifying
3(y + 4) + -6 = 45

Reorder the terms:
3(4 + y) + -6 = 45
(4 * 3 + y * 3) + -6 = 45
(12 + 3y) + -6 = 45

Reorder the terms:
12 + -6 + 3y = 45

Combine like terms: 12 + -6 = 6
6 + 3y = 45

Solving
6 + 3y = 45

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 3y = 45 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = 45 + -6
3y = 45 + -6

Combine like terms: 45 + -6 = 39
3y = 39

Divide each side by '3'.
y = 13

Simplifying
y = 13