Solve 7/6=y-(-5/3)

$$7 / 6 = y - ( - 5 / 3 )$$

Solve for y

$$y=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

The opposite of -\frac{5}{3} is \frac{5}{3}.

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

Swap sides so that all variable terms are on the left hand side.

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

Subtract \frac{5}{3} from both sides.

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

Least common multiple of 6 and 3 is 6. Convert \frac{7}{6} and \frac{5}{3} to fractions with denominator 6.

$$y=\frac{7}{6}-\frac{10}{6}$$

Since \frac{7}{6} and \frac{10}{6} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{7-10}{6}$$

Subtract 10 from 7 to get -3.

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

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

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