Solve y-5/20=5/8-3/10

$$y - \frac { 5 } { 20 } = \frac { 5 } { 8 } - \frac { 3 } { 10 }$$

Solve for y

$$y=\frac{23}{40}=0.575$$

Steps for Solving Linear Equation

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$y-\frac{1}{4}=\frac{5}{8}-\frac{3}{10}$$

Least common multiple of 8 and 10 is 40. Convert \frac{5}{8} and \frac{3}{10} to fractions with denominator 40.

$$y-\frac{1}{4}=\frac{25}{40}-\frac{12}{40}$$

Since \frac{25}{40} and \frac{12}{40} have the same denominator, subtract them by subtracting their numerators.

$$y-\frac{1}{4}=\frac{25-12}{40}$$

Subtract 12 from 25 to get 13.

$$y-\frac{1}{4}=\frac{13}{40}$$

Add \frac{1}{4} to both sides.

$$y=\frac{13}{40}+\frac{1}{4}$$

Least common multiple of 40 and 4 is 40. Convert \frac{13}{40} and \frac{1}{4} to fractions with denominator 40.

$$y=\frac{13}{40}+\frac{10}{40}$$

Since \frac{13}{40} and \frac{10}{40} have the same denominator, add them by adding their numerators.

$$y=\frac{13+10}{40}$$

Add 13 and 10 to get 23.

$$y=\frac{23}{40}$$