Solve for y 8=(82y)/100

$8 = \frac{82 y}{100}$

Rewrite the equation as $\frac{82 y}{100} = 8$ .

$\frac{82 y}{100} = 8$

Cancel the common factor of $82$ and $100$ .

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Factor $2$ out of $82 y$ .

$\frac{2 (41 y)}{100} = 8$

Cancel the common factors.

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Factor $2$ out of $100$ .

$\frac{2 (41 y)}{2 (50)} = 8$

Cancel the common factor.

$\frac{2 (41 y)}{2 \cdot 50} = 8$

Rewrite the expression.

$\frac{41 y}{50} = 8$

Multiply both sides of the equation by $\frac{50}{41}$ .

$\frac{50}{41} \cdot \frac{41 y}{50} = \frac{50}{41} \cdot 8$

Simplify both sides of the equation.

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Simplify $\frac{50}{41} \cdot \frac{41 y}{50}$ .

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Cancel the common factor of $50$ .

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Cancel the common factor.

$\frac{50}{41} \cdot \frac{41 y}{50} = \frac{50}{41} \cdot 8$

Rewrite the expression.

$\frac{1}{41} \cdot (41 y) = \frac{50}{41} \cdot 8$

Cancel the common factor of $41$ .

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Factor $41$ out of $41 y$ .

$\frac{1}{41} \cdot (41 (y)) = \frac{50}{41} \cdot 8$

Cancel the common factor.

$\frac{1}{41} \cdot (41 y) = \frac{50}{41} \cdot 8$

Rewrite the expression.

$y = \frac{50}{41} \cdot 8$

Multiply $\frac{50}{41} \cdot 8$ .

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Combine $\frac{50}{41}$ and $8$ .

$y = \frac{50 \cdot 8}{41}$

Multiply $50$ by $8$ .

$y = \frac{400}{41}$

The result can be shown in multiple forms.

Exact Form:

$y = \frac{400}{41}$

Decimal Form:

$y = 9.\overline{75609}$

Mixed Number Form:

$y = 9 \frac{31}{41}$

Solve for y 8=(82y)/100

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