Basic Math Examples

$35 = \frac{1}{2} \cdot (y (8 + 4))$

Step 1

Rewrite the equation as $\frac{1}{2} \cdot (y (8 + 4)) = 35$ .

$\frac{1}{2} \cdot (y (8 + 4)) = 35$

Step 2

Multiply both sides of the equation by $\frac{1}{\frac{1}{2} (8 + 4)}$ .

$\frac{1}{\frac{1}{2} (8 + 4)} (\frac{1}{2} \cdot (y (8 + 4))) = \frac{1}{\frac{1}{2} (8 + 4)} \cdot 35$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $\frac{1}{2} \cdot (8 + 4)$ .

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Step 3.1.1.1

Factor $\frac{1}{2} \cdot (8 + 4)$ out of $\frac{1}{2} \cdot (y (8 + 4))$ .

$\frac{1}{\frac{1}{2} (8 + 4)} (\frac{1}{2} (8 + 4) (y)) = \frac{1}{\frac{1}{2} (8 + 4)} \cdot 35$

Step 3.1.1.2

Cancel the common factor.

$\frac{1}{\frac{1}{2} (8 + 4)} (\frac{1}{2} (8 + 4) y) = \frac{1}{\frac{1}{2} (8 + 4)} \cdot 35$

Step 3.1.1.3

Rewrite the expression.

$y = \frac{1}{\frac{1}{2} (8 + 4)} \cdot 35$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $\frac{1}{\frac{1}{2} (8 + 4)} \cdot 35$ .

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Step 3.2.1.1

Add $8$ and $4$ .

$y = \frac{1}{\frac{1}{2} \cdot 12} \cdot 35$

Step 3.2.1.2

Combine $\frac{1}{2}$ and $12$ .

$y = \frac{1}{\frac{12}{2}} \cdot 35$

Step 3.2.1.3

Divide $12$ by $2$ .

$y = \frac{1}{6} \cdot 35$

Step 3.2.1.4

Combine $\frac{1}{6}$ and $35$ .

$y = \frac{35}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{35}{6}$

Decimal Form:

$y = 5.8\overline{3}$

Mixed Number Form:

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