(45y-15)-(9y+6)=

Solution for (45y-15)-(9y+6)= equation:

Simplifying
(45y + -15) + -1(9y + 6) = 0

Reorder the terms:
(-15 + 45y) + -1(9y + 6) = 0

Remove parenthesis around (-15 + 45y)
-15 + 45y + -1(9y + 6) = 0

Reorder the terms:
-15 + 45y + -1(6 + 9y) = 0
-15 + 45y + (6 * -1 + 9y * -1) = 0
-15 + 45y + (-6 + -9y) = 0

Reorder the terms:
-15 + -6 + 45y + -9y = 0

Combine like terms: -15 + -6 = -21
-21 + 45y + -9y = 0

Combine like terms: 45y + -9y = 36y
-21 + 36y = 0

Solving
-21 + 36y = 0

Solving for variable 'y'.

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

Add '21' to each side of the equation.
-21 + 21 + 36y = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 36y = 0 + 21
36y = 0 + 21

Combine like terms: 0 + 21 = 21
36y = 21

Divide each side by '36'.
y = 0.5833333333

Simplifying
y = 0.5833333333