Basic Math Examples

$14 = 7 y - 6$

Step 1

Rewrite the equation as $7 y - 6 = 14$ .

$7 y - 6 = 14$

Step 2

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

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Step 2.1

Add $6$ to both sides of the equation.

$7 y = 14 + 6$

Step 2.2

Add $14$ and $6$ .

$7 y = 20$

Step 3

Divide each term in $7 y = 20$ by $7$ and simplify.

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Step 3.1

Divide each term in $7 y = 20$ by $7$ .

$\frac{7 y}{7} = \frac{20}{7}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $7$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{7 y}{7} = \frac{20}{7}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{20}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{20}{7}$

Decimal Form:

$y = 2.\overline{857142}$

Mixed Number Form:

$y = 2 \frac{6}{7}$