(2y-9)+(3y+4)+90=180

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Solution for (2y-9)+(3y+4)+90=180 equation:


Simplifying
(2y + -9) + (3y + 4) + 90 = 180

Reorder the terms:
(-9 + 2y) + (3y + 4) + 90 = 180

Remove parenthesis around (-9 + 2y)
-9 + 2y + (3y + 4) + 90 = 180

Reorder the terms:
-9 + 2y + (4 + 3y) + 90 = 180

Remove parenthesis around (4 + 3y)
-9 + 2y + 4 + 3y + 90 = 180

Reorder the terms:
-9 + 4 + 90 + 2y + 3y = 180

Combine like terms: -9 + 4 = -5
-5 + 90 + 2y + 3y = 180

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

Combine like terms: 2y + 3y = 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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