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

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

Solve for y

$$y=\frac{7}{8}=0.875$$

Steps for Solving Linear Equation

Add \frac{2}{3}y to both sides.

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

Combine 2y and \frac{2}{3}y to get \frac{8}{3}y.

$$\frac{8}{3}y-\frac{1}{3}=2$$

Add \frac{1}{3} to both sides.

$$\frac{8}{3}y=2+\frac{1}{3}$$

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

$$\frac{8}{3}y=\frac{6}{3}+\frac{1}{3}$$

Since \frac{6}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{8}{3}y=\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{8}{3}y=\frac{7}{3}$$

Multiply both sides by \frac{3}{8}, the reciprocal of \frac{8}{3}.

$$y=\frac{7}{3}\times \frac{3}{8}$$

Multiply \frac{7}{3} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{7\times 3}{3\times 8}$$

Cancel out 3 in both numerator and denominator.

$$y=\frac{7}{8}$$