Basic Math Examples

$17 y - 24 y = \frac{1}{2}$

Step 1

Subtract $24 y$ from $17 y$ .

$- 7 y = \frac{1}{2}$

Step 2

Divide each term in $- 7 y = \frac{1}{2}$ by $- 7$ and simplify.

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Step 2.1

Divide each term in $- 7 y = \frac{1}{2}$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{\frac{1}{2}}{- 7}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 7$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{\frac{1}{2}}{- 7}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{\frac{1}{2}}{- 7}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$y = \frac{1}{2} \cdot \frac{1}{- 7}$

Step 2.3.2

Move the negative in front of the fraction.

$y = \frac{1}{2} (- \frac{1}{7})$

Step 2.3.3

Multiply $\frac{1}{2} (- \frac{1}{7})$ .

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Step 2.3.3.1

Multiply $\frac{1}{2}$ by $\frac{1}{7}$ .

$y = - \frac{1}{2 \cdot 7}$

Step 2.3.3.2

Multiply $2$ by $7$ .

$y = - \frac{1}{14}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{1}{14}$

Decimal Form:

$y = - 0.0\overline{714285}$