Solve for y 0.05(10000)+0.09y=0.080(10000)+y

$0.05 (10000) + 0.09 y = 0.08 (10000) + y$

Multiply $0.05$ by $10000$ .

$500 + 0.09 y = 0.08 (10000) + y$

Multiply $0.08$ by $10000$ .

$500 + 0.09 y = 800 + y$

Move all terms containing $y$ to the left side of the equation.

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Subtract $y$ from both sides of the equation.

$500 + 0.09 y - y = 800$

Subtract $y$ from $0.09 y$ .

$500 - 0.91 y = 800$

Move all terms not containing $y$ to the right side of the equation.

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Subtract $500$ from both sides of the equation.

$- 0.91 y = 800 - 500$

Subtract $500$ from $800$ .

$- 0.91 y = 300$

Divide each term by $- 0.91$ and simplify.

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Divide each term in $- 0.91 y = 300$ by $- 0.91$ .

$\frac{- 0.91 y}{- 0.91} = \frac{300}{- 0.91}$

Cancel the common factor of $- 0.91$ .

$y = \frac{300}{- 0.91}$

Divide $300$ by $- 0.91$ .

$y = - 329.\overline{670329}$

Solve for y 0.05(10000)+0.09y=0.080(10000)+y

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