Solve n/2-y/8-3/4-5=

$$\frac { n } { 2 } - \frac { y } { 8 } - \frac { 3 } { 4 } - 5 =$$

Evaluate

$$\frac{n}{2}-\frac{y}{8}-\frac{23}{4}$$

Short Solution Steps

Convert 5 to fraction \frac{20}{4}.

$$\frac{n}{2}-\frac{y}{8}-\frac{3}{4}-\frac{20}{4}$$

Since -\frac{3}{4} and \frac{20}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{n}{2}-\frac{y}{8}+\frac{-3-20}{4}$$

Subtract 20 from -3 to get -23.

$$\frac{n}{2}-\frac{y}{8}-\frac{23}{4}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 8 is 8. Multiply \frac{n}{2} times \frac{4}{4}.

$$\frac{4n}{8}-\frac{y}{8}-\frac{23}{4}$$

Since \frac{4n}{8} and \frac{y}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4n-y}{8}-\frac{23}{4}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8 and 4 is 8. Multiply \frac{23}{4} times \frac{2}{2}.

$$\frac{4n-y}{8}-\frac{23\times 2}{8}$$

Since \frac{4n-y}{8} and \frac{23\times 2}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4n-y-23\times 2}{8}$$

Do the multiplications in 4n-y-23\times 2.

$$\frac{4n-y-46}{8}$$

Factor

$$\frac{-y+4n-46}{8}$$

Solution Steps

Factor out \frac{1}{8}.

$$\frac{4n-y-46}{8}$$

Consider 4n-y-6-40. Multiply and combine like terms.

$$-y+4n-46$$

Rewrite the complete factored expression.

$$\frac{-y+4n-46}{8}$$