Basic Math Examples

$2 \cdot - 3 = 9 y - 3$

Step 1

Rewrite the equation as $9 y - 3 = 2 \cdot - 3$ .

$9 y - 3 = 2 \cdot - 3$

Step 2

Multiply $2$ by $- 3$ .

$9 y - 3 = - 6$

Step 3

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

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Step 3.1

Add $3$ to both sides of the equation.

$9 y = - 6 + 3$

Step 3.2

Add $- 6$ and $3$ .

$9 y = - 3$

Step 4

Divide each term in $9 y = - 3$ by $9$ and simplify.

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Step 4.1

Divide each term in $9 y = - 3$ by $9$ .

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

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $9$ .

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Step 4.2.1.1

Cancel the common factor.

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

Step 4.2.1.2

Divide $y$ by $1$ .

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

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $- 3$ and $9$ .

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Step 4.3.1.1

Factor $3$ out of $- 3$ .

$y = \frac{3 (- 1)}{9}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $3$ out of $9$ .

$y = \frac{3 \cdot - 1}{3 \cdot 3}$

Step 4.3.1.2.2

Cancel the common factor.

$y = \frac{3 \cdot - 1}{3 \cdot 3}$

Step 4.3.1.2.3

Rewrite the expression.

$y = \frac{- 1}{3}$

Step 4.3.2

Move the negative in front of the fraction.

$y = - \frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{1}{3}$

Decimal Form:

$y = - 0.\overline{3}$