Solve y/12y+36-3/6y+18

$$\frac { y } { 12 y + 36 } - \frac { 3 } { 6 y + 18 }$$

Evaluate

$$\frac{y-6}{12\left(y+3\right)}$$

Short Solution Steps

Factor 12y+36. Factor 6y+18.

$$\frac{y}{12\left(y+3\right)}-\frac{3}{6\left(y+3\right)}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 12\left(y+3\right) and 6\left(y+3\right) is 12\left(y+3\right). Multiply \frac{3}{6\left(y+3\right)} times \frac{2}{2}.

$$\frac{y}{12\left(y+3\right)}-\frac{3\times 2}{12\left(y+3\right)}$$

Since \frac{y}{12\left(y+3\right)} and \frac{3\times 2}{12\left(y+3\right)} have the same denominator, subtract them by subtracting their numerators.

$$\frac{y-3\times 2}{12\left(y+3\right)}$$

Do the multiplications in y-3\times 2.

$$\frac{y-6}{12\left(y+3\right)}$$

Expand 12\left(y+3\right).

$$\frac{y-6}{12y+36}$$

Factor

$$\frac{y-6}{12\left(y+3\right)}$$