5y=(4y-9)+40

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


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

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

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

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

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

Solving
5y = 31 + 4y

Solving for variable 'y'.

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

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

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

Combine like terms: 4y + -4y = 0
1y = 31 + 0
1y = 31

Divide each side by '1'.
y = 31

Simplifying
y = 31

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