Solve y=3/5-2/3-1/2

$$y = \frac { 3 } { 5 } - \frac { 2 } { 3 } - \frac { 1 } { 2 }$$

Solve for y

$$y=-\frac{17}{30}\approx -0.566666667$$

Steps for Solving Linear Equation

Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{2}{3} to fractions with denominator 15.

$$y=\frac{9}{15}-\frac{10}{15}-\frac{1}{2}$$

Since \frac{9}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{9-10}{15}-\frac{1}{2}$$

Subtract 10 from 9 to get -1.

$$y=-\frac{1}{15}-\frac{1}{2}$$

Least common multiple of 15 and 2 is 30. Convert -\frac{1}{15} and \frac{1}{2} to fractions with denominator 30.

$$y=-\frac{2}{30}-\frac{15}{30}$$

Since -\frac{2}{30} and \frac{15}{30} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{-2-15}{30}$$

Subtract 15 from -2 to get -17.

$$y=-\frac{17}{30}$$

Assign y

$$y≔-\frac{17}{30}$$