Solve 3-y-10/4

$$3 - y - \frac { 10 } { 4 }$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$3-y-\frac{5}{2}$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{6}{2}-y-\frac{5}{2}$$

Since \frac{6}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-5}{2}-y$$

Subtract 5 from 6 to get 1.

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

Factor

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

Solution Steps

Factor out \frac{1}{2}.

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

Consider 6-2y-5. Multiply and combine like terms.

$$-2y+1$$

Rewrite the complete factored expression.

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