9(y+10)+y=3(y+3)-8

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Solution for 9(y+10)+y=3(y+3)-8 equation: 


Simplifying
9(y + 10) + y = 3(y + 3) + -8

Reorder the terms:
9(10 + y) + y = 3(y + 3) + -8
(10 * 9 + y * 9) + y = 3(y + 3) + -8
(90 + 9y) + y = 3(y + 3) + -8

Combine like terms: 9y + y = 10y
90 + 10y = 3(y + 3) + -8

Reorder the terms:
90 + 10y = 3(3 + y) + -8
90 + 10y = (3 * 3 + y * 3) + -8
90 + 10y = (9 + 3y) + -8

Reorder the terms:
90 + 10y = 9 + -8 + 3y

Combine like terms: 9 + -8 = 1
90 + 10y = 1 + 3y

Solving
90 + 10y = 1 + 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.
90 + 10y + -3y = 1 + 3y + -3y

Combine like terms: 10y + -3y = 7y
90 + 7y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
90 + 7y = 1 + 0
90 + 7y = 1

Add '-90' to each side of the equation.
90 + -90 + 7y = 1 + -90

Combine like terms: 90 + -90 = 0
0 + 7y = 1 + -90
7y = 1 + -90

Combine like terms: 1 + -90 = -89
7y = -89

Divide each side by '7'.
y = -12.71428571

Simplifying
y = -12.71428571

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