Basic Math Examples

$6 = \frac{y}{\frac{128}{25}} + 4$

Step 1

Rewrite the equation as $\frac{y}{\frac{128}{25}} + 4 = 6$ .

$\frac{y}{\frac{128}{25}} + 4 = 6$

Step 2

Simplify each term.

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Step 2.1

Multiply the numerator by the reciprocal of the denominator.

$y \frac{25}{128} + 4 = 6$

Step 2.2

Combine $y$ and $\frac{25}{128}$ .

$\frac{y \cdot 25}{128} + 4 = 6$

Step 2.3

Move $25$ to the left of $y$ .

$\frac{25 y}{128} + 4 = 6$

Step 3

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

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Step 3.1

Subtract $4$ from both sides of the equation.

$\frac{25 y}{128} = 6 - 4$

Step 3.2

Subtract $4$ from $6$ .

$\frac{25 y}{128} = 2$

Step 4

Multiply both sides of the equation by $\frac{128}{25}$ .

$\frac{128}{25} \cdot \frac{25 y}{128} = \frac{128}{25} \cdot 2$

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Simplify $\frac{128}{25} \cdot \frac{25 y}{128}$ .

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Step 5.1.1.1

Cancel the common factor of $128$ .

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Step 5.1.1.1.1

Cancel the common factor.

$\frac{128}{25} \cdot \frac{25 y}{128} = \frac{128}{25} \cdot 2$

Step 5.1.1.1.2

Rewrite the expression.

$\frac{1}{25} (25 y) = \frac{128}{25} \cdot 2$

Step 5.1.1.2

Cancel the common factor of $25$ .

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Step 5.1.1.2.1

Factor $25$ out of $25 y$ .

$\frac{1}{25} (25 (y)) = \frac{128}{25} \cdot 2$

Step 5.1.1.2.2

Cancel the common factor.

$\frac{1}{25} (25 y) = \frac{128}{25} \cdot 2$

Step 5.1.1.2.3

Rewrite the expression.

$y = \frac{128}{25} \cdot 2$

Step 5.2

Simplify the right side.

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Step 5.2.1

Multiply $\frac{128}{25} \cdot 2$ .

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Step 5.2.1.1

Combine $\frac{128}{25}$ and $2$ .

$y = \frac{128 \cdot 2}{25}$

Step 5.2.1.2

Multiply $128$ by $2$ .

$y = \frac{256}{25}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = \frac{256}{25}$

Decimal Form:

$y = 10.24$

Mixed Number Form:

$y = 10 \frac{6}{25}$