Solve 5-4y/y^2-6y+4/y-6=

$$\frac { 5 - 4 y } { y ^ { 2 } - 6 y } + \frac { 4 } { y - 6 } =$$

Evaluate

$$\frac{5}{y\left(y-6\right)}$$

Short Solution Steps

Factor y^{2}-6y.

$$\frac{5-4y}{y\left(y-6\right)}+\frac{4}{y-6}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of y\left(y-6\right) and y-6 is y\left(y-6\right). Multiply \frac{4}{y-6} times \frac{y}{y}.

$$\frac{5-4y}{y\left(y-6\right)}+\frac{4y}{y\left(y-6\right)}$$

Since \frac{5-4y}{y\left(y-6\right)} and \frac{4y}{y\left(y-6\right)} have the same denominator, add them by adding their numerators.

$$\frac{5-4y+4y}{y\left(y-6\right)}$$

Combine like terms in 5-4y+4y.

$$\frac{5}{y\left(y-6\right)}$$

Expand y\left(y-6\right).

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

Expand

$$\frac{5}{y\left(y-6\right)}$$

Short Solution Steps

Factor y^{2}-6y.

$$\frac{5-4y}{y\left(y-6\right)}+\frac{4}{y-6}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of y\left(y-6\right) and y-6 is y\left(y-6\right). Multiply \frac{4}{y-6} times \frac{y}{y}.

$$\frac{5-4y}{y\left(y-6\right)}+\frac{4y}{y\left(y-6\right)}$$

Since \frac{5-4y}{y\left(y-6\right)} and \frac{4y}{y\left(y-6\right)} have the same denominator, add them by adding their numerators.

$$\frac{5-4y+4y}{y\left(y-6\right)}$$

Combine like terms in 5-4y+4y.

$$\frac{5}{y\left(y-6\right)}$$

Expand y\left(y-6\right).

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