Solve 3y-2/6-2y-5/3

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

Evaluate

$$-\frac{y}{6}+\frac{4}{3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 3 is 6. Multiply \frac{2y-5}{3} times \frac{2}{2}.

$$\frac{3y-2}{6}-\frac{2\left(2y-5\right)}{6}$$

Since \frac{3y-2}{6} and \frac{2\left(2y-5\right)}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3y-2-2\left(2y-5\right)}{6}$$

Do the multiplications in 3y-2-2\left(2y-5\right).

$$\frac{3y-2-4y+10}{6}$$

Combine like terms in 3y-2-4y+10.

$$\frac{-y+8}{6}$$

Expand

$$-\frac{y}{6}+\frac{4}{3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 3 is 6. Multiply \frac{2y-5}{3} times \frac{2}{2}.

$$\frac{3y-2}{6}-\frac{2\left(2y-5\right)}{6}$$

Since \frac{3y-2}{6} and \frac{2\left(2y-5\right)}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3y-2-2\left(2y-5\right)}{6}$$

Do the multiplications in 3y-2-2\left(2y-5\right).

$$\frac{3y-2-4y+10}{6}$$

Combine like terms in 3y-2-4y+10.

$$\frac{-y+8}{6}$$