Solve for y y=12(7/24)-16

$y = 12 (\frac{7}{24}) - 16$

Cancel the common factor of $12$ .

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Factor $12$ out of $24$ .

$y = 12 \frac{7}{12 (2)} - 16$

Cancel the common factor.

$y = 12 \frac{7}{12 \cdot 2} - 16$

Rewrite the expression.

$y = \frac{7}{2} - 16$

To write $- 16$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = \frac{7}{2} - 16 \cdot \frac{2}{2}$

Combine $- 16$ and $\frac{2}{2}$ .

$y = \frac{7}{2} + \frac{- 16 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = \frac{7 - 16 \cdot 2}{2}$

Simplify the numerator.

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Multiply $- 16$ by $2$ .

$y = \frac{7 - 32}{2}$

Subtract $32$ from $7$ .

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

Move the negative in front of the fraction.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = - 12.5$

Mixed Number Form:

$y = - 12 \frac{1}{2}$

Solve for y y=12(7/24)-16