(y+12)+(3y+8)=180

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Solution for (y+12)+(3y+8)=180 equation:


Simplifying
(y + 12) + (3y + 8) = 180

Reorder the terms:
(12 + y) + (3y + 8) = 180

Remove parenthesis around (12 + y)
12 + y + (3y + 8) = 180

Reorder the terms:
12 + y + (8 + 3y) = 180

Remove parenthesis around (8 + 3y)
12 + y + 8 + 3y = 180

Reorder the terms:
12 + 8 + y + 3y = 180

Combine like terms: 12 + 8 = 20
20 + y + 3y = 180

Combine like terms: y + 3y = 4y
20 + 4y = 180

Solving
20 + 4y = 180

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + 4y = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 4y = 180 + -20
4y = 180 + -20

Combine like terms: 180 + -20 = 160
4y = 160

Divide each side by '4'.
y = 40

Simplifying
y = 40

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