Solve y-y/frac{4{y}+2}

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

Evaluate

$$0$$

Short Solution Steps

Combine y and -y to get 0.

$$\frac{0}{\frac{4}{y}+2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{y}{y}.

$$\frac{0}{\frac{4}{y}+\frac{2y}{y}}$$

Since \frac{4}{y} and \frac{2y}{y} have the same denominator, add them by adding their numerators.

$$\frac{0}{\frac{4+2y}{y}}$$

Divide 0 by \frac{4+2y}{y} by multiplying 0 by the reciprocal of \frac{4+2y}{y}.

$$\frac{0y}{4+2y}$$

Factor the expressions that are not already factored.

$$\frac{0}{2\left(y+2\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{0}{y+2}$$

Zero divided by any non-zero term gives zero.

$$0$$

Factor

$$0$$