(3y+15)+(5y-9)=180

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Solution for (3y+15)+(5y-9)=180 equation:


Simplifying
(3y + 15) + (5y + -9) = 180

Reorder the terms:
(15 + 3y) + (5y + -9) = 180

Remove parenthesis around (15 + 3y)
15 + 3y + (5y + -9) = 180

Reorder the terms:
15 + 3y + (-9 + 5y) = 180

Remove parenthesis around (-9 + 5y)
15 + 3y + -9 + 5y = 180

Reorder the terms:
15 + -9 + 3y + 5y = 180

Combine like terms: 15 + -9 = 6
6 + 3y + 5y = 180

Combine like terms: 3y + 5y = 8y
6 + 8y = 180

Solving
6 + 8y = 180

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 8y = 180 + -6

Combine like terms: 6 + -6 = 0
0 + 8y = 180 + -6
8y = 180 + -6

Combine like terms: 180 + -6 = 174
8y = 174

Divide each side by '8'.
y = 21.75

Simplifying
y = 21.75

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