(3y+14)+(4y+4)+(2y-9)=180

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Solution for (3y+14)+(4y+4)+(2y-9)=180 equation:


Simplifying
(3y + 14) + (4y + 4) + (2y + -9) = 180

Reorder the terms:
(14 + 3y) + (4y + 4) + (2y + -9) = 180

Remove parenthesis around (14 + 3y)
14 + 3y + (4y + 4) + (2y + -9) = 180

Reorder the terms:
14 + 3y + (4 + 4y) + (2y + -9) = 180

Remove parenthesis around (4 + 4y)
14 + 3y + 4 + 4y + (2y + -9) = 180

Reorder the terms:
14 + 3y + 4 + 4y + (-9 + 2y) = 180

Remove parenthesis around (-9 + 2y)
14 + 3y + 4 + 4y + -9 + 2y = 180

Reorder the terms:
14 + 4 + -9 + 3y + 4y + 2y = 180

Combine like terms: 14 + 4 = 18
18 + -9 + 3y + 4y + 2y = 180

Combine like terms: 18 + -9 = 9
9 + 3y + 4y + 2y = 180

Combine like terms: 3y + 4y = 7y
9 + 7y + 2y = 180

Combine like terms: 7y + 2y = 9y
9 + 9y = 180

Solving
9 + 9y = 180

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + 9y = 180 + -9

Combine like terms: 9 + -9 = 0
0 + 9y = 180 + -9
9y = 180 + -9

Combine like terms: 180 + -9 = 171
9y = 171

Divide each side by '9'.
y = 19

Simplifying
y = 19

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