Basic Math Examples

$4 = (4 \cdot y) - \frac{3}{4}$

Step 1

Rewrite the equation as $4 \cdot y - \frac{3}{4} = 4$ .

$4 y - \frac{3}{4} = 4$

Step 2

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

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Step 2.1

Add $\frac{3}{4}$ to both sides of the equation.

$4 y = 4 + \frac{3}{4}$

Step 2.2

To write $4$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$4 y = 4 \cdot \frac{4}{4} + \frac{3}{4}$

Step 2.3

Combine $4$ and $\frac{4}{4}$ .

$4 y = \frac{4 \cdot 4}{4} + \frac{3}{4}$

Step 2.4

Combine the numerators over the common denominator.

$4 y = \frac{4 \cdot 4 + 3}{4}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $4$ by $4$ .

$4 y = \frac{16 + 3}{4}$

Step 2.5.2

Add $16$ and $3$ .

$4 y = \frac{19}{4}$

Step 3

Divide each term in $4 y = \frac{19}{4}$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 y = \frac{19}{4}$ by $4$ .

$\frac{4 y}{4} = \frac{\frac{19}{4}}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{\frac{19}{4}}{4}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{\frac{19}{4}}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply the numerator by the reciprocal of the denominator.

$y = \frac{19}{4} \cdot \frac{1}{4}$

Step 3.3.2

Multiply $\frac{19}{4} \cdot \frac{1}{4}$ .

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Step 3.3.2.1

Multiply $\frac{19}{4}$ by $\frac{1}{4}$ .

$y = \frac{19}{4 \cdot 4}$

Step 3.3.2.2

Multiply $4$ by $4$ .

$y = \frac{19}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{19}{16}$

Decimal Form:

$y = 1.1875$

Mixed Number Form:

$y = 1 \frac{3}{16}$