40+(4y-9)=5y

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


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

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

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

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

Solving
31 + 4y = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
31 + 4y + -5y = 5y + -5y

Combine like terms: 4y + -5y = -1y
31 + -1y = 5y + -5y

Combine like terms: 5y + -5y = 0
31 + -1y = 0

Add '-31' to each side of the equation.
31 + -31 + -1y = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -1y = 0 + -31
-1y = 0 + -31

Combine like terms: 0 + -31 = -31
-1y = -31

Divide each side by '-1'.
y = 31

Simplifying
y = 31

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