17y-9(12+2y)=3(y+22)+(45+y)

Solution for 17y-9(12+2y)=3(y+22)+(45+y) equation:

Simplifying
17y + -9(12 + 2y) = 3(y + 22) + (45 + y)
17y + (12 * -9 + 2y * -9) = 3(y + 22) + (45 + y)
17y + (-108 + -18y) = 3(y + 22) + (45 + y)

Reorder the terms:
-108 + 17y + -18y = 3(y + 22) + (45 + y)

Combine like terms: 17y + -18y = -1y
-108 + -1y = 3(y + 22) + (45 + y)

Reorder the terms:
-108 + -1y = 3(22 + y) + (45 + y)
-108 + -1y = (22 * 3 + y * 3) + (45 + y)
-108 + -1y = (66 + 3y) + (45 + y)

Remove parenthesis around (45 + y)
-108 + -1y = 66 + 3y + 45 + y

Reorder the terms:
-108 + -1y = 66 + 45 + 3y + y

Combine like terms: 66 + 45 = 111
-108 + -1y = 111 + 3y + y

Combine like terms: 3y + y = 4y
-108 + -1y = 111 + 4y

Solving
-108 + -1y = 111 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-108 + -1y + -4y = 111 + 4y + -4y

Combine like terms: -1y + -4y = -5y
-108 + -5y = 111 + 4y + -4y

Combine like terms: 4y + -4y = 0
-108 + -5y = 111 + 0
-108 + -5y = 111

Add '108' to each side of the equation.
-108 + 108 + -5y = 111 + 108

Combine like terms: -108 + 108 = 0
0 + -5y = 111 + 108
-5y = 111 + 108

Combine like terms: 111 + 108 = 219
-5y = 219

Divide each side by '-5'.
y = -43.8

Simplifying
y = -43.8