10(8-y)+y=10y+8-y+18

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Solution for 10(8-y)+y=10y+8-y+18 equation:


Simplifying
10(8 + -1y) + y = 10y + 8 + -1y + 18
(8 * 10 + -1y * 10) + y = 10y + 8 + -1y + 18
(80 + -10y) + y = 10y + 8 + -1y + 18

Combine like terms: -10y + y = -9y
80 + -9y = 10y + 8 + -1y + 18

Reorder the terms:
80 + -9y = 8 + 18 + 10y + -1y

Combine like terms: 8 + 18 = 26
80 + -9y = 26 + 10y + -1y

Combine like terms: 10y + -1y = 9y
80 + -9y = 26 + 9y

Solving
80 + -9y = 26 + 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.
80 + -9y + -9y = 26 + 9y + -9y

Combine like terms: -9y + -9y = -18y
80 + -18y = 26 + 9y + -9y

Combine like terms: 9y + -9y = 0
80 + -18y = 26 + 0
80 + -18y = 26

Add '-80' to each side of the equation.
80 + -80 + -18y = 26 + -80

Combine like terms: 80 + -80 = 0
0 + -18y = 26 + -80
-18y = 26 + -80

Combine like terms: 26 + -80 = -54
-18y = -54

Divide each side by '-18'.
y = 3

Simplifying
y = 3

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