9(y+10)+y=2(y+4)+2

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Solution for 9(y+10)+y=2(y+4)+2 equation: 


Simplifying
9(y + 10) + y = 2(y + 4) + 2

Reorder the terms:
9(10 + y) + y = 2(y + 4) + 2
(10 * 9 + y * 9) + y = 2(y + 4) + 2
(90 + 9y) + y = 2(y + 4) + 2

Combine like terms: 9y + y = 10y
90 + 10y = 2(y + 4) + 2

Reorder the terms:
90 + 10y = 2(4 + y) + 2
90 + 10y = (4 * 2 + y * 2) + 2
90 + 10y = (8 + 2y) + 2

Reorder the terms:
90 + 10y = 8 + 2 + 2y

Combine like terms: 8 + 2 = 10
90 + 10y = 10 + 2y

Solving
90 + 10y = 10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
90 + 10y + -2y = 10 + 2y + -2y

Combine like terms: 10y + -2y = 8y
90 + 8y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
90 + 8y = 10 + 0
90 + 8y = 10

Add '-90' to each side of the equation.
90 + -90 + 8y = 10 + -90

Combine like terms: 90 + -90 = 0
0 + 8y = 10 + -90
8y = 10 + -90

Combine like terms: 10 + -90 = -80
8y = -80

Divide each side by '8'.
y = -10

Simplifying
y = -10

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