(3y-5)+(2y+20)=180

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Solution for (3y-5)+(2y+20)=180 equation:


Simplifying
(3y + -5) + (2y + 20) = 180

Reorder the terms:
(-5 + 3y) + (2y + 20) = 180

Remove parenthesis around (-5 + 3y)
-5 + 3y + (2y + 20) = 180

Reorder the terms:
-5 + 3y + (20 + 2y) = 180

Remove parenthesis around (20 + 2y)
-5 + 3y + 20 + 2y = 180

Reorder the terms:
-5 + 20 + 3y + 2y = 180

Combine like terms: -5 + 20 = 15
15 + 3y + 2y = 180

Combine like terms: 3y + 2y = 5y
15 + 5y = 180

Solving
15 + 5y = 180

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + 5y = 180 + -15

Combine like terms: 15 + -15 = 0
0 + 5y = 180 + -15
5y = 180 + -15

Combine like terms: 180 + -15 = 165
5y = 165

Divide each side by '5'.
y = 33

Simplifying
y = 33

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