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

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

Solve for y

$$y=\frac{1}{12}\approx 0.083333333$$

Steps for Solving Linear Equation

Add \frac{1}{2} to both sides.

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

Least common multiple of 3 and 2 is 6. Convert -\frac{1}{3} and \frac{1}{2} to fractions with denominator 6.

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

Since -\frac{2}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

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

Add -2 and 3 to get 1.

$$2y=\frac{1}{6}$$

Divide both sides by 2.

$$y=\frac{\frac{1}{6}}{2}$$

Express \frac{\frac{1}{6}}{2} as a single fraction.

$$y=\frac{1}{6\times 2}$$

Multiply 6 and 2 to get 12.

$$y=\frac{1}{12}$$