Solve -3/5y-7/10--3/5

$$\frac { - 3 } { 5 } y - \frac { 7 } { 10 } - \frac { - 3 } { 5 }$$

Evaluate

$$-\frac{3y}{5}-\frac{1}{10}$$

Solution Steps

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$-\frac{3}{5}y-\frac{7}{10}-\frac{-3}{5}$$

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$-\frac{3}{5}y-\frac{7}{10}-\left(-\frac{3}{5}\right)$$

The opposite of -\frac{3}{5} is \frac{3}{5}.

$$-\frac{3}{5}y-\frac{7}{10}+\frac{3}{5}$$

Least common multiple of 10 and 5 is 10. Convert -\frac{7}{10} and \frac{3}{5} to fractions with denominator 10.

$$-\frac{3}{5}y-\frac{7}{10}+\frac{6}{10}$$

Since -\frac{7}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$-\frac{3}{5}y+\frac{-7+6}{10}$$

Add -7 and 6 to get -1.

$$-\frac{3}{5}y-\frac{1}{10}$$

Factor

$$\frac{-6y-1}{10}$$

Solution Steps

Factor out \frac{1}{10}.

$$\frac{-6y-1}{10}$$

Consider -6y-7+6. Multiply and combine like terms.

$$-6y-1$$

Rewrite the complete factored expression.

$$\frac{-6y-1}{10}$$