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

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


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

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

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

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

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

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

Combine like terms: 5 + -17 = -12
-12 + 2y + 5y = 180

Combine like terms: 2y + 5y = 7y
-12 + 7y = 180

Solving
-12 + 7y = 180

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 7y = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 7y = 180 + 12
7y = 180 + 12

Combine like terms: 180 + 12 = 192
7y = 192

Divide each side by '7'.
y = 27.42857143

Simplifying
y = 27.42857143

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