(2y+6)+(8y+10)+(y+32)=180

Solution for (2y+6)+(8y+10)+(y+32)=180 equation:

Simplifying
(2y + 6) + (8y + 10) + (y + 32) = 180

Reorder the terms:
(6 + 2y) + (8y + 10) + (y + 32) = 180

Remove parenthesis around (6 + 2y)
6 + 2y + (8y + 10) + (y + 32) = 180

Reorder the terms:
6 + 2y + (10 + 8y) + (y + 32) = 180

Remove parenthesis around (10 + 8y)
6 + 2y + 10 + 8y + (y + 32) = 180

Reorder the terms:
6 + 2y + 10 + 8y + (32 + y) = 180

Remove parenthesis around (32 + y)
6 + 2y + 10 + 8y + 32 + y = 180

Reorder the terms:
6 + 10 + 32 + 2y + 8y + y = 180

Combine like terms: 6 + 10 = 16
16 + 32 + 2y + 8y + y = 180

Combine like terms: 16 + 32 = 48
48 + 2y + 8y + y = 180

Combine like terms: 2y + 8y = 10y
48 + 10y + y = 180

Combine like terms: 10y + y = 11y
48 + 11y = 180

Solving
48 + 11y = 180

Solving for variable 'y'.

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

Add '-48' to each side of the equation.
48 + -48 + 11y = 180 + -48

Combine like terms: 48 + -48 = 0
0 + 11y = 180 + -48
11y = 180 + -48

Combine like terms: 180 + -48 = 132
11y = 132

Divide each side by '11'.
y = 12

Simplifying
y = 12