(30-y)+(9y-10)=180

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Solution for (30-y)+(9y-10)=180 equation:


Simplifying
(30 + -1y) + (9y + -10) = 180

Remove parenthesis around (30 + -1y)
30 + -1y + (9y + -10) = 180

Reorder the terms:
30 + -1y + (-10 + 9y) = 180

Remove parenthesis around (-10 + 9y)
30 + -1y + -10 + 9y = 180

Reorder the terms:
30 + -10 + -1y + 9y = 180

Combine like terms: 30 + -10 = 20
20 + -1y + 9y = 180

Combine like terms: -1y + 9y = 8y
20 + 8y = 180

Solving
20 + 8y = 180

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + 8y = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 8y = 180 + -20
8y = 180 + -20

Combine like terms: 180 + -20 = 160
8y = 160

Divide each side by '8'.
y = 20

Simplifying
y = 20

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