17-(-y-7)=3(y+4)-9(y+4)

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Solution for 17-(-y-7)=3(y+4)-9(y+4) equation:


Simplifying
17 + -1(-1y + -7) = 3(y + 4) + -9(y + 4)

Reorder the terms:
17 + -1(-7 + -1y) = 3(y + 4) + -9(y + 4)
17 + (-7 * -1 + -1y * -1) = 3(y + 4) + -9(y + 4)
17 + (7 + 1y) = 3(y + 4) + -9(y + 4)

Combine like terms: 17 + 7 = 24
24 + 1y = 3(y + 4) + -9(y + 4)

Reorder the terms:
24 + 1y = 3(4 + y) + -9(y + 4)
24 + 1y = (4 * 3 + y * 3) + -9(y + 4)
24 + 1y = (12 + 3y) + -9(y + 4)

Reorder the terms:
24 + 1y = 12 + 3y + -9(4 + y)
24 + 1y = 12 + 3y + (4 * -9 + y * -9)
24 + 1y = 12 + 3y + (-36 + -9y)

Reorder the terms:
24 + 1y = 12 + -36 + 3y + -9y

Combine like terms: 12 + -36 = -24
24 + 1y = -24 + 3y + -9y

Combine like terms: 3y + -9y = -6y
24 + 1y = -24 + -6y

Solving
24 + 1y = -24 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
24 + 1y + 6y = -24 + -6y + 6y

Combine like terms: 1y + 6y = 7y
24 + 7y = -24 + -6y + 6y

Combine like terms: -6y + 6y = 0
24 + 7y = -24 + 0
24 + 7y = -24

Add '-24' to each side of the equation.
24 + -24 + 7y = -24 + -24

Combine like terms: 24 + -24 = 0
0 + 7y = -24 + -24
7y = -24 + -24

Combine like terms: -24 + -24 = -48
7y = -48

Divide each side by '7'.
y = -6.857142857

Simplifying
y = -6.857142857

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