10y+8-y=80-10y+y+36

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Solution for 10y+8-y=80-10y+y+36 equation:


Simplifying
10y + 8 + -1y = 80 + -10y + y + 36

Reorder the terms:
8 + 10y + -1y = 80 + -10y + y + 36

Combine like terms: 10y + -1y = 9y
8 + 9y = 80 + -10y + y + 36

Reorder the terms:
8 + 9y = 80 + 36 + -10y + y

Combine like terms: 80 + 36 = 116
8 + 9y = 116 + -10y + y

Combine like terms: -10y + y = -9y
8 + 9y = 116 + -9y

Solving
8 + 9y = 116 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
8 + 9y + 9y = 116 + -9y + 9y

Combine like terms: 9y + 9y = 18y
8 + 18y = 116 + -9y + 9y

Combine like terms: -9y + 9y = 0
8 + 18y = 116 + 0
8 + 18y = 116

Add '-8' to each side of the equation.
8 + -8 + 18y = 116 + -8

Combine like terms: 8 + -8 = 0
0 + 18y = 116 + -8
18y = 116 + -8

Combine like terms: 116 + -8 = 108
18y = 108

Divide each side by '18'.
y = 6

Simplifying
y = 6

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