[2(y+5)]+(9y+5)=180

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Solution for [2(y+5)]+(9y+5)=180 equation: 


Simplifying
[2(y + 5)] + (9y + 5) = 180

Reorder the terms:
[2(5 + y)] + (9y + 5) = 180
[(5 * 2 + y * 2)] + (9y + 5) = 180
[(10 + 2y)] + (9y + 5) = 180
[10 + 2y] + (9y + 5) = 180

Remove brackets around [10 + 2y]
10 + 2y + (9y + 5) = 180

Reorder the terms:
10 + 2y + (5 + 9y) = 180

Remove parenthesis around (5 + 9y)
10 + 2y + 5 + 9y = 180

Reorder the terms:
10 + 5 + 2y + 9y = 180

Combine like terms: 10 + 5 = 15
15 + 2y + 9y = 180

Combine like terms: 2y + 9y = 11y
15 + 11y = 180

Solving
15 + 11y = 180

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + 11y = 180 + -15

Combine like terms: 15 + -15 = 0
0 + 11y = 180 + -15
11y = 180 + -15

Combine like terms: 180 + -15 = 165
11y = 165

Divide each side by '11'.
y = 15

Simplifying
y = 15

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