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

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


Simplifying
(10y + (9 + -1y)) + 9 = (y + 10(9 + -1y))

Remove parenthesis around (9 + -1y)
(10y + 9 + -1y) + 9 = (y + 10(9 + -1y))

Reorder the terms:
(9 + 10y + -1y) + 9 = (y + 10(9 + -1y))

Combine like terms: 10y + -1y = 9y
(9 + 9y) + 9 = (y + 10(9 + -1y))

Remove parenthesis around (9 + 9y)
9 + 9y + 9 = (y + 10(9 + -1y))

Reorder the terms:
9 + 9 + 9y = (y + 10(9 + -1y))

Combine like terms: 9 + 9 = 18
18 + 9y = (y + 10(9 + -1y))
18 + 9y = (y + (9 * 10 + -1y * 10))
18 + 9y = (y + (90 + -10y))

Reorder the terms:
18 + 9y = (90 + y + -10y)

Combine like terms: y + -10y = -9y
18 + 9y = (90 + -9y)

Remove parenthesis around (90 + -9y)
18 + 9y = 90 + -9y

Solving
18 + 9y = 90 + -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.
18 + 9y + 9y = 90 + -9y + 9y

Combine like terms: 9y + 9y = 18y
18 + 18y = 90 + -9y + 9y

Combine like terms: -9y + 9y = 0
18 + 18y = 90 + 0
18 + 18y = 90

Add '-18' to each side of the equation.
18 + -18 + 18y = 90 + -18

Combine like terms: 18 + -18 = 0
0 + 18y = 90 + -18
18y = 90 + -18

Combine like terms: 90 + -18 = 72
18y = 72

Divide each side by '18'.
y = 4

Simplifying
y = 4

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