(3y+12)+(y+30)+(y+30)=180

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Solution for (3y+12)+(y+30)+(y+30)=180 equation:


Simplifying
(3y + 12) + (y + 30) + (y + 30) = 180

Reorder the terms:
(12 + 3y) + (y + 30) + (y + 30) = 180

Remove parenthesis around (12 + 3y)
12 + 3y + (y + 30) + (y + 30) = 180

Reorder the terms:
12 + 3y + (30 + y) + (y + 30) = 180

Remove parenthesis around (30 + y)
12 + 3y + 30 + y + (y + 30) = 180

Reorder the terms:
12 + 3y + 30 + y + (30 + y) = 180

Remove parenthesis around (30 + y)
12 + 3y + 30 + y + 30 + y = 180

Reorder the terms:
12 + 30 + 30 + 3y + y + y = 180

Combine like terms: 12 + 30 = 42
42 + 30 + 3y + y + y = 180

Combine like terms: 42 + 30 = 72
72 + 3y + y + y = 180

Combine like terms: 3y + y = 4y
72 + 4y + y = 180

Combine like terms: 4y + y = 5y
72 + 5y = 180

Solving
72 + 5y = 180

Solving for variable 'y'.

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

Add '-72' to each side of the equation.
72 + -72 + 5y = 180 + -72

Combine like terms: 72 + -72 = 0
0 + 5y = 180 + -72
5y = 180 + -72

Combine like terms: 180 + -72 = 108
5y = 108

Divide each side by '5'.
y = 21.6

Simplifying
y = 21.6

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