Basic Math Examples

$8 - 3 = \frac{1}{9} y - 5$

Step 1

Rewrite the equation as $\frac{1}{9} y - 5 = 8 - 3$ .

$\frac{1}{9} y - 5 = 8 - 3$

Step 2

Combine $\frac{1}{9}$ and $y$ .

$\frac{y}{9} - 5 = 8 - 3$

Step 3

Subtract $3$ from $8$ .

$\frac{y}{9} - 5 = 5$

Step 4

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

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Step 4.1

Add $5$ to both sides of the equation.

$\frac{y}{9} = 5 + 5$

Step 4.2

Add $5$ and $5$ .

$\frac{y}{9} = 10$

Step 5

Multiply both sides of the equation by $9$ .

$9 \frac{y}{9} = 9 \cdot 10$

Step 6

Simplify both sides of the equation.

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Step 6.1

Simplify the left side.

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Step 6.1.1

Cancel the common factor of $9$ .

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Step 6.1.1.1

Cancel the common factor.

$9 \frac{y}{9} = 9 \cdot 10$

Step 6.1.1.2

Rewrite the expression.

$y = 9 \cdot 10$

Step 6.2

Simplify the right side.

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Step 6.2.1

Multiply $9$ by $10$ .

$y = 90$