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

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


Simplifying
17y + -9(12x + 2) = 3(y + 22) + (45 + -1y)

Reorder the terms:
17y + -9(2 + 12x) = 3(y + 22) + (45 + -1y)
17y + (2 * -9 + 12x * -9) = 3(y + 22) + (45 + -1y)
17y + (-18 + -108x) = 3(y + 22) + (45 + -1y)

Reorder the terms:
-18 + -108x + 17y = 3(y + 22) + (45 + -1y)

Reorder the terms:
-18 + -108x + 17y = 3(22 + y) + (45 + -1y)
-18 + -108x + 17y = (22 * 3 + y * 3) + (45 + -1y)
-18 + -108x + 17y = (66 + 3y) + (45 + -1y)

Remove parenthesis around (45 + -1y)
-18 + -108x + 17y = 66 + 3y + 45 + -1y

Reorder the terms:
-18 + -108x + 17y = 66 + 45 + 3y + -1y

Combine like terms: 66 + 45 = 111
-18 + -108x + 17y = 111 + 3y + -1y

Combine like terms: 3y + -1y = 2y
-18 + -108x + 17y = 111 + 2y

Solving
-18 + -108x + 17y = 111 + 2y

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + -108x + 18 + 17y = 111 + 18 + 2y

Reorder the terms:
-18 + 18 + -108x + 17y = 111 + 18 + 2y

Combine like terms: -18 + 18 = 0
0 + -108x + 17y = 111 + 18 + 2y
-108x + 17y = 111 + 18 + 2y

Combine like terms: 111 + 18 = 129
-108x + 17y = 129 + 2y

Add '-17y' to each side of the equation.
-108x + 17y + -17y = 129 + 2y + -17y

Combine like terms: 17y + -17y = 0
-108x + 0 = 129 + 2y + -17y
-108x = 129 + 2y + -17y

Combine like terms: 2y + -17y = -15y
-108x = 129 + -15y

Divide each side by '-108'.
x = -1.194444444 + 0.1388888889y

Simplifying
x = -1.194444444 + 0.1388888889y

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