y+(8+y)+(10-y)=40

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Solution for y+(8+y)+(10-y)=40 equation: 


Simplifying
y + (8 + y) + (10 + -1y) = 40

Remove parenthesis around (8 + y)
y + 8 + y + (10 + -1y) = 40

Remove parenthesis around (10 + -1y)
y + 8 + y + 10 + -1y = 40

Reorder the terms:
8 + 10 + y + y + -1y = 40

Combine like terms: 8 + 10 = 18
18 + y + y + -1y = 40

Combine like terms: y + y = 2y
18 + 2y + -1y = 40

Combine like terms: 2y + -1y = 1y
18 + 1y = 40

Solving
18 + 1y = 40

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + 1y = 40 + -18

Combine like terms: 18 + -18 = 0
0 + 1y = 40 + -18
1y = 40 + -18

Combine like terms: 40 + -18 = 22
1y = 22

Divide each side by '1'.
y = 22

Simplifying
y = 22

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