Finite Math Examples

$(- \frac{3}{4}) (6) + 4 = y$

Step 1

Rewrite the equation as $y = - \frac{3}{4} \cdot 6 + 4$ .

$y = - \frac{3}{4} \cdot 6 + 4$

Step 2

Simplify $- \frac{3}{4} \cdot 6 + 4$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Cancel the common factor of $2$ .

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Step 2.1.1.1

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$y = \frac{- 3}{4} \cdot 6 + 4$

Step 2.1.1.2

Factor $2$ out of $4$ .

$y = \frac{- 3}{2 (2)} \cdot 6 + 4$

Step 2.1.1.3

Factor $2$ out of $6$ .

$y = \frac{- 3}{2 \cdot 2} \cdot (2 \cdot 3) + 4$

Step 2.1.1.4

Cancel the common factor.

$y = \frac{- 3}{2 \cdot 2} \cdot (2 \cdot 3) + 4$

Step 2.1.1.5

Rewrite the expression.

$y = \frac{- 3}{2} \cdot 3 + 4$

Step 2.1.2

Combine $\frac{- 3}{2}$ and $3$ .

$y = \frac{- 3 \cdot 3}{2} + 4$

Step 2.1.3

Multiply $- 3$ by $3$ .

$y = \frac{- 9}{2} + 4$

Step 2.1.4

Move the negative in front of the fraction.

$y = - \frac{9}{2} + 4$

Step 2.2

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = - \frac{9}{2} + 4 \cdot \frac{2}{2}$

Step 2.3

Combine $4$ and $\frac{2}{2}$ .

$y = - \frac{9}{2} + \frac{4 \cdot 2}{2}$

Step 2.4

Combine the numerators over the common denominator.

$y = \frac{- 9 + 4 \cdot 2}{2}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $4$ by $2$ .

$y = \frac{- 9 + 8}{2}$

Step 2.5.2

Add $- 9$ and $8$ .

$y = \frac{- 1}{2}$

Step 2.6

Move the negative in front of the fraction.

$y = - \frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{1}{2}$

Decimal Form:

$y = - 0.5$