9(y+8)+y=3(y+5)-8

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Solution for 9(y+8)+y=3(y+5)-8 equation: 


Simplifying
9(y + 8) + y = 3(y + 5) + -8

Reorder the terms:
9(8 + y) + y = 3(y + 5) + -8
(8 * 9 + y * 9) + y = 3(y + 5) + -8
(72 + 9y) + y = 3(y + 5) + -8

Combine like terms: 9y + y = 10y
72 + 10y = 3(y + 5) + -8

Reorder the terms:
72 + 10y = 3(5 + y) + -8
72 + 10y = (5 * 3 + y * 3) + -8
72 + 10y = (15 + 3y) + -8

Reorder the terms:
72 + 10y = 15 + -8 + 3y

Combine like terms: 15 + -8 = 7
72 + 10y = 7 + 3y

Solving
72 + 10y = 7 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
72 + 10y + -3y = 7 + 3y + -3y

Combine like terms: 10y + -3y = 7y
72 + 7y = 7 + 3y + -3y

Combine like terms: 3y + -3y = 0
72 + 7y = 7 + 0
72 + 7y = 7

Add '-72' to each side of the equation.
72 + -72 + 7y = 7 + -72

Combine like terms: 72 + -72 = 0
0 + 7y = 7 + -72
7y = 7 + -72

Combine like terms: 7 + -72 = -65
7y = -65

Divide each side by '7'.
y = -9.285714286

Simplifying
y = -9.285714286

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