Basic Math Examples

$t = | 14 y |$

Step 1

Rewrite the equation as $| 14 y | = t$ .

$| 14 y | = t$

Step 2

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$14 y = \pm t$

Step 3

The complete solution is the result of both the positive and negative portions of the solution.

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Step 3.1

First, use the positive value of the $\pm$ to find the first solution.

$14 y = t$

Step 3.2

Divide each term in $14 y = t$ by $14$ and simplify.

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Step 3.2.1

Divide each term in $14 y = t$ by $14$ .

$\frac{14 y}{14} = \frac{t}{14}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $14$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{14 y}{14} = \frac{t}{14}$

Step 3.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{t}{14}$

Step 3.3

Next, use the negative value of the $\pm$ to find the second solution.

$14 y = - t$

Step 3.4

Divide each term in $14 y = - t$ by $14$ and simplify.

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Step 3.4.1

Divide each term in $14 y = - t$ by $14$ .

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

Step 3.4.2

Simplify the left side.

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Step 3.4.2.1

Cancel the common factor of $14$ .

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Step 3.4.2.1.1

Cancel the common factor.

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

Step 3.4.2.1.2

Divide $y$ by $1$ .

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

Step 3.4.3

Simplify the right side.

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Step 3.4.3.1

Move the negative in front of the fraction.

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

Step 3.5

The complete solution is the result of both the positive and negative portions of the solution.

$y = \frac{t}{14}$

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

$y = \frac{t}{14}$

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