(2y+50)+(5y-17)=180

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Solution for (2y+50)+(5y-17)=180 equation: 


Simplifying
(2y + 50) + (5y + -17) = 180

Reorder the terms:
(50 + 2y) + (5y + -17) = 180

Remove parenthesis around (50 + 2y)
50 + 2y + (5y + -17) = 180

Reorder the terms:
50 + 2y + (-17 + 5y) = 180

Remove parenthesis around (-17 + 5y)
50 + 2y + -17 + 5y = 180

Reorder the terms:
50 + -17 + 2y + 5y = 180

Combine like terms: 50 + -17 = 33
33 + 2y + 5y = 180

Combine like terms: 2y + 5y = 7y
33 + 7y = 180

Solving
33 + 7y = 180

Solving for variable 'y'.

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

Add '-33' to each side of the equation.
33 + -33 + 7y = 180 + -33

Combine like terms: 33 + -33 = 0
0 + 7y = 180 + -33
7y = 180 + -33

Combine like terms: 180 + -33 = 147
7y = 147

Divide each side by '7'.
y = 21

Simplifying
y = 21

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