Solve -2+y=4/3+1/2y

$$- 2 + y = \frac { 4 } { 3 } + \frac { 1 } { 2 } y$$

Solve for y

$$y = \frac{20}{3} = 6\frac{2}{3} \approx 6.666666667$$

Steps for Solving Linear Equation

Subtract \frac{1}{2}y from both sides.

$$-2+y-\frac{1}{2}y=\frac{4}{3}$$

Combine y and -\frac{1}{2}y to get \frac{1}{2}y.

$$-2+\frac{1}{2}y=\frac{4}{3}$$

Add 2 to both sides.

$$\frac{1}{2}y=\frac{4}{3}+2$$

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

$$\frac{1}{2}y=\frac{4}{3}+\frac{6}{3}$$

Since \frac{4}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}y=\frac{4+6}{3}$$

Add 4 and 6 to get 10.

$$\frac{1}{2}y=\frac{10}{3}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

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

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

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

Multiply 10 and 2 to get 20.

$$y=\frac{20}{3}$$