(5y+6)-(-6y+6)=(24y+45)

Solution for (5y+6)-(-6y+6)=(24y+45) equation:

Simplifying
(5y + 6) + -1(-6y + 6) = (24y + 45)

Reorder the terms:
(6 + 5y) + -1(-6y + 6) = (24y + 45)

Remove parenthesis around (6 + 5y)
6 + 5y + -1(-6y + 6) = (24y + 45)

Reorder the terms:
6 + 5y + -1(6 + -6y) = (24y + 45)
6 + 5y + (6 * -1 + -6y * -1) = (24y + 45)
6 + 5y + (-6 + 6y) = (24y + 45)

Reorder the terms:
6 + -6 + 5y + 6y = (24y + 45)

Combine like terms: 6 + -6 = 0
0 + 5y + 6y = (24y + 45)
5y + 6y = (24y + 45)

Combine like terms: 5y + 6y = 11y
11y = (24y + 45)

Reorder the terms:
11y = (45 + 24y)

Remove parenthesis around (45 + 24y)
11y = 45 + 24y

Solving
11y = 45 + 24y

Solving for variable 'y'.

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

Add '-24y' to each side of the equation.
11y + -24y = 45 + 24y + -24y

Combine like terms: 11y + -24y = -13y
-13y = 45 + 24y + -24y

Combine like terms: 24y + -24y = 0
-13y = 45 + 0
-13y = 45

Divide each side by '-13'.
y = -3.461538462

Simplifying
y = -3.461538462