Basic Math Examples

$14 y - 12 = 40$

Step 1

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

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Step 1.1

Add $12$ to both sides of the equation.

$14 y = 40 + 12$

Step 1.2

Add $40$ and $12$ .

$14 y = 52$

Step 2

Divide each term in $14 y = 52$ by $14$ and simplify.

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Step 2.1

Divide each term in $14 y = 52$ by $14$ .

$\frac{14 y}{14} = \frac{52}{14}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $14$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{14 y}{14} = \frac{52}{14}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{52}{14}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $52$ and $14$ .

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Step 2.3.1.1

Factor $2$ out of $52$ .

$y = \frac{2 (26)}{14}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $2$ out of $14$ .

$y = \frac{2 \cdot 26}{2 \cdot 7}$

Step 2.3.1.2.2

Cancel the common factor.

$y = \frac{2 \cdot 26}{2 \cdot 7}$

Step 2.3.1.2.3

Rewrite the expression.

$y = \frac{26}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = \frac{26}{7}$

Decimal Form:

$y = 3.\overline{714285}$

Mixed Number Form:

$y = 3 \frac{5}{7}$