(y-6)+9=45-(y*5)

Solution for (y-6)+9=45-(y*5) equation:

Simplifying
(y + -6) + 9 = 45 + -1(y * 5)

Reorder the terms:
(-6 + y) + 9 = 45 + -1(y * 5)

Remove parenthesis around (-6 + y)
-6 + y + 9 = 45 + -1(y * 5)

Reorder the terms:
-6 + 9 + y = 45 + -1(y * 5)

Combine like terms: -6 + 9 = 3
3 + y = 45 + -1(y * 5)

Reorder the terms for easier multiplication:
3 + y = 45 + -1(5y)

Remove parenthesis around (5y)
3 + y = 45 + -1 * 5y

Multiply -1 * 5
3 + y = 45 + -5y

Solving
3 + y = 45 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
3 + y + 5y = 45 + -5y + 5y

Combine like terms: y + 5y = 6y
3 + 6y = 45 + -5y + 5y

Combine like terms: -5y + 5y = 0
3 + 6y = 45 + 0
3 + 6y = 45

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

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

Combine like terms: 45 + -3 = 42
6y = 42

Divide each side by '6'.
y = 7

Simplifying
y = 7