Solve 5y+1/3=7/6

$$5 y + \frac { 1 } { 3 } = \frac { 7 } { 6 }$$

Solve for y

$$y=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Subtract \frac{1}{3} from both sides.

$$5y=\frac{7}{6}-\frac{1}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{7}{6} and \frac{1}{3} to fractions with denominator 6.

$$5y=\frac{7}{6}-\frac{2}{6}$$

Since \frac{7}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$5y=\frac{7-2}{6}$$

Subtract 2 from 7 to get 5.

$$5y=\frac{5}{6}$$

Divide both sides by 5.

$$y=\frac{\frac{5}{6}}{5}$$

Express \frac{\frac{5}{6}}{5} as a single fraction.

$$y=\frac{5}{6\times 5}$$

Cancel out 5 in both numerator and denominator.

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