Solve 1/5y-5/2=-7/3

$$\frac { 1 } { 5 } y - \frac { 5 } { 2 } = - \frac { 7 } { 3 }$$

Solve for y

$$y=\frac{5}{6}\approx 0.833333333$$

Steps for Solving Linear Equation

Add \frac{5}{2} to both sides.

$$\frac{1}{5}y=-\frac{7}{3}+\frac{5}{2}$$

Least common multiple of 3 and 2 is 6. Convert -\frac{7}{3} and \frac{5}{2} to fractions with denominator 6.

$$\frac{1}{5}y=-\frac{14}{6}+\frac{15}{6}$$

Since -\frac{14}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.

$$\frac{1}{5}y=\frac{-14+15}{6}$$

Add -14 and 15 to get 1.

$$\frac{1}{5}y=\frac{1}{6}$$

Multiply both sides by 5, the reciprocal of \frac{1}{5}.

$$y=\frac{1}{6}\times 5$$

Multiply \frac{1}{6} and 5 to get \frac{5}{6}.

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