Basic Math Examples

$- 9 s + 3 y = 16$

Step 1

Subtract $3 y$ from both sides of the equation.

$- 9 s = 16 - 3 y$

Step 2

Divide each term in $- 9 s = 16 - 3 y$ by $- 9$ and simplify.

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Step 2.1

Divide each term in $- 9 s = 16 - 3 y$ by $- 9$ .

$\frac{- 9 s}{- 9} = \frac{16}{- 9} + \frac{- 3 y}{- 9}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 9$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 9 s}{- 9} = \frac{16}{- 9} + \frac{- 3 y}{- 9}$

Step 2.2.1.2

Divide $s$ by $1$ .

$s = \frac{16}{- 9} + \frac{- 3 y}{- 9}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Move the negative in front of the fraction.

$s = - \frac{16}{9} + \frac{- 3 y}{- 9}$

Step 2.3.1.2

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

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Step 2.3.1.2.1

Factor $- 3$ out of $- 3 y$ .

$s = - \frac{16}{9} + \frac{- 3 (y)}{- 9}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor $- 3$ out of $- 9$ .

$s = - \frac{16}{9} + \frac{- 3 (y)}{- 3 (3)}$

Step 2.3.1.2.2.2

Cancel the common factor.

$s = - \frac{16}{9} + \frac{- 3 y}{- 3 \cdot 3}$

Step 2.3.1.2.2.3

Rewrite the expression.

$s = - \frac{16}{9} + \frac{y}{3}$