Basic Math Examples

$2 - \frac{y}{6} = 5$

Step 1

Subtract $5$ from both sides of the equation.

$2 - \frac{y}{6} - 5 = 0$

Step 2

Subtract $5$ from $2$ .

$- \frac{y}{6} - 3 = 0$

Step 3

Factor the left side.

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Step 3.1

Factor $- 1$ out of $- \frac{y}{6} - 3$ .

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Step 3.1.1

Factor $- 1$ out of $- \frac{y}{6}$ .

$- (\frac{y}{6}) - 3 = 0$

Step 3.1.2

Rewrite $- 3$ as $- 1 (3)$ .

$- (\frac{y}{6}) - 1 (3) = 0$

Step 3.1.3

Factor $- 1$ out of $- (\frac{y}{6}) - 1 (3)$ .

$- (\frac{y}{6} + 3) = 0$

Step 3.2

To write $3$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$- (\frac{y}{6} + 3 \cdot \frac{6}{6}) = 0$

Step 3.3

Combine $3$ and $\frac{6}{6}$ .

$- (\frac{y}{6} + \frac{3 \cdot 6}{6}) = 0$

Step 3.4

Combine the numerators over the common denominator.

$- \frac{y + 3 \cdot 6}{6} = 0$

Step 3.5

Multiply $3$ by $6$ .

$- \frac{y + 18}{6} = 0$