Solve 4/3+2y=-2

$$\frac { 4 } { 3 } + 2 y = - 2$$

Solve for y

$$y = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667$$

Steps for Solving Linear Equation

Subtract \frac{4}{3} from both sides.

$$2y=-2-\frac{4}{3}$$

Convert -2 to fraction -\frac{6}{3}.

$$2y=-\frac{6}{3}-\frac{4}{3}$$

Since -\frac{6}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$2y=\frac{-6-4}{3}$$

Subtract 4 from -6 to get -10.

$$2y=-\frac{10}{3}$$

Divide both sides by 2.

$$y=\frac{-\frac{10}{3}}{2}$$

Express \frac{-\frac{10}{3}}{2} as a single fraction.

$$y=\frac{-10}{3\times 2}$$

Multiply 3 and 2 to get 6.

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

Reduce the fraction \frac{-10}{6} to lowest terms by extracting and canceling out 2.

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