Solve y=1/3-7/3-5/6

$$y = \frac { 1 } { 3 } - \frac { 7 } { 3 } - \frac { 5 } { 6 }$$

Solve for y

$$y = -\frac{17}{6} = -2\frac{5}{6} \approx -2.833333333$$

Steps for Solving Linear Equation

Since \frac{1}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{1-7}{3}-\frac{5}{6}$$

Subtract 7 from 1 to get -6.

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

Divide -6 by 3 to get -2.

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

Convert -2 to fraction -\frac{12}{6}.

$$y=-\frac{12}{6}-\frac{5}{6}$$

Since -\frac{12}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{-12-5}{6}$$

Subtract 5 from -12 to get -17.

$$y=-\frac{17}{6}$$

Assign y

$$y≔-\frac{17}{6}$$