(y+52)+(2y+17)=180

Solution for (y+52)+(2y+17)=180 equation:

Simplifying
(y + 52) + (2y + 17) = 180

Reorder the terms:
(52 + y) + (2y + 17) = 180

Remove parenthesis around (52 + y)
52 + y + (2y + 17) = 180

Reorder the terms:
52 + y + (17 + 2y) = 180

Remove parenthesis around (17 + 2y)
52 + y + 17 + 2y = 180

Reorder the terms:
52 + 17 + y + 2y = 180

Combine like terms: 52 + 17 = 69
69 + y + 2y = 180

Combine like terms: y + 2y = 3y
69 + 3y = 180

Solving
69 + 3y = 180

Solving for variable 'y'.

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

Add '-69' to each side of the equation.
69 + -69 + 3y = 180 + -69

Combine like terms: 69 + -69 = 0
0 + 3y = 180 + -69
3y = 180 + -69

Combine like terms: 180 + -69 = 111
3y = 111

Divide each side by '3'.
y = 37

Simplifying
y = 37