(y+6)+(2y+4)+(y+2)=180

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Solution for (y+6)+(2y+4)+(y+2)=180 equation:


Simplifying
(y + 6) + (2y + 4) + (y + 2) = 180

Reorder the terms:
(6 + y) + (2y + 4) + (y + 2) = 180

Remove parenthesis around (6 + y)
6 + y + (2y + 4) + (y + 2) = 180

Reorder the terms:
6 + y + (4 + 2y) + (y + 2) = 180

Remove parenthesis around (4 + 2y)
6 + y + 4 + 2y + (y + 2) = 180

Reorder the terms:
6 + y + 4 + 2y + (2 + y) = 180

Remove parenthesis around (2 + y)
6 + y + 4 + 2y + 2 + y = 180

Reorder the terms:
6 + 4 + 2 + y + 2y + y = 180

Combine like terms: 6 + 4 = 10
10 + 2 + y + 2y + y = 180

Combine like terms: 10 + 2 = 12
12 + y + 2y + y = 180

Combine like terms: y + 2y = 3y
12 + 3y + y = 180

Combine like terms: 3y + y = 4y
12 + 4y = 180

Solving
12 + 4y = 180

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + 4y = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 4y = 180 + -12
4y = 180 + -12

Combine like terms: 180 + -12 = 168
4y = 168

Divide each side by '4'.
y = 42

Simplifying
y = 42

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