9(y+5)-3(-2+y)=123

Solution for 9(y+5)-3(-2+y)=123 equation:

Simplifying
9(y + 5) + -3(-2 + y) = 123

Reorder the terms:
9(5 + y) + -3(-2 + y) = 123
(5 * 9 + y * 9) + -3(-2 + y) = 123
(45 + 9y) + -3(-2 + y) = 123
45 + 9y + (-2 * -3 + y * -3) = 123
45 + 9y + (6 + -3y) = 123

Reorder the terms:
45 + 6 + 9y + -3y = 123

Combine like terms: 45 + 6 = 51
51 + 9y + -3y = 123

Combine like terms: 9y + -3y = 6y
51 + 6y = 123

Solving
51 + 6y = 123

Solving for variable 'y'.

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

Add '-51' to each side of the equation.
51 + -51 + 6y = 123 + -51

Combine like terms: 51 + -51 = 0
0 + 6y = 123 + -51
6y = 123 + -51

Combine like terms: 123 + -51 = 72
6y = 72

Divide each side by '6'.
y = 12

Simplifying
y = 12