(2y+9)-(y-6)=

Solution for (2y+9)-(y-6)= equation:

Simplifying
(2y + 9) + -1(y + -6) = 0

Reorder the terms:
(9 + 2y) + -1(y + -6) = 0

Remove parenthesis around (9 + 2y)
9 + 2y + -1(y + -6) = 0

Reorder the terms:
9 + 2y + -1(-6 + y) = 0
9 + 2y + (-6 * -1 + y * -1) = 0
9 + 2y + (6 + -1y) = 0

Reorder the terms:
9 + 6 + 2y + -1y = 0

Combine like terms: 9 + 6 = 15
15 + 2y + -1y = 0

Combine like terms: 2y + -1y = 1y
15 + 1y = 0

Solving
15 + 1y = 0

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + 1y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 1y = 0 + -15
1y = 0 + -15

Combine like terms: 0 + -15 = -15
1y = -15

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

Simplifying
y = -15