(3y+5)+(2y-10)+90=180

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Solution for (3y+5)+(2y-10)+90=180 equation:


Simplifying
(3y + 5) + (2y + -10) + 90 = 180

Reorder the terms:
(5 + 3y) + (2y + -10) + 90 = 180

Remove parenthesis around (5 + 3y)
5 + 3y + (2y + -10) + 90 = 180

Reorder the terms:
5 + 3y + (-10 + 2y) + 90 = 180

Remove parenthesis around (-10 + 2y)
5 + 3y + -10 + 2y + 90 = 180

Reorder the terms:
5 + -10 + 90 + 3y + 2y = 180

Combine like terms: 5 + -10 = -5
-5 + 90 + 3y + 2y = 180

Combine like terms: -5 + 90 = 85
85 + 3y + 2y = 180

Combine like terms: 3y + 2y = 5y
85 + 5y = 180

Solving
85 + 5y = 180

Solving for variable 'y'.

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

Add '-85' to each side of the equation.
85 + -85 + 5y = 180 + -85

Combine like terms: 85 + -85 = 0
0 + 5y = 180 + -85
5y = 180 + -85

Combine like terms: 180 + -85 = 95
5y = 95

Divide each side by '5'.
y = 19

Simplifying
y = 19

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