Solve -3/6y-z+5/2y-z-yz

$$- \frac { 3 } { 6 } y - z + \frac { 5 } { 2 } y - z - y z$$

Evaluate

$$-yz+2y-2z$$

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{2}y-z+\frac{5}{2}y-z-yz$$

Combine -\frac{1}{2}y and \frac{5}{2}y to get 2y.

$$2y-z-z-yz$$

Combine -z and -z to get -2z.

$$2y-2z-yz$$

Factor

$$-yz+2y-2z$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{-y-2z+5y-2z-2yz}{2}$$

Consider -y-2z+5y-2z-2yz. Multiply and combine like terms.

$$-2yz+4y-4z$$

Consider -2yz+4y-4z. Factor out 2.

$$2\left(-yz+2y-2z\right)$$

Rewrite the complete factored expression.

$$-yz+2y-2z$$