Solve 2y+11/3=-1

$$2y+ \frac{ 11 }{ 3 } =-1$$

Solve for y

$$y = -\frac{7}{3} = -2\frac{1}{3} \approx -2.333333333$$

Steps for Solving Linear Equation

Subtract \frac{11}{3} from both sides.

$$2y=-1-\frac{11}{3}$$

Convert -1 to fraction -\frac{3}{3}.

$$2y=-\frac{3}{3}-\frac{11}{3}$$

Since -\frac{3}{3} and \frac{11}{3} have the same denominator, subtract them by subtracting their numerators.

$$2y=\frac{-3-11}{3}$$

Subtract 11 from -3 to get -14.

$$2y=-\frac{14}{3}$$

Divide both sides by 2.

$$y=\frac{-\frac{14}{3}}{2}$$

Express \frac{-\frac{14}{3}}{2} as a single fraction.

$$y=\frac{-14}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$y=\frac{-14}{6}$$

Reduce the fraction \frac{-14}{6} to lowest terms by extracting and canceling out 2.

$$y=-\frac{7}{3}$$