(4y-9)+5y+40=180

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Solution for (4y-9)+5y+40=180 equation:


Simplifying
(4y + -9) + 5y + 40 = 180

Reorder the terms:
(-9 + 4y) + 5y + 40 = 180

Remove parenthesis around (-9 + 4y)
-9 + 4y + 5y + 40 = 180

Reorder the terms:
-9 + 40 + 4y + 5y = 180

Combine like terms: -9 + 40 = 31
31 + 4y + 5y = 180

Combine like terms: 4y + 5y = 9y
31 + 9y = 180

Solving
31 + 9y = 180

Solving for variable 'y'.

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

Add '-31' to each side of the equation.
31 + -31 + 9y = 180 + -31

Combine like terms: 31 + -31 = 0
0 + 9y = 180 + -31
9y = 180 + -31

Combine like terms: 180 + -31 = 149
9y = 149

Divide each side by '9'.
y = 16.55555556

Simplifying
y = 16.55555556

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