Solve y-(22/5-13/10)div21/5=5

$$y-( 2 \frac { 2 } { 5 } - 1 \frac { 3 } { 10 } ) \div 2 \frac { 1 } { 5 } =5$$

Solve for y

$$y = \frac{11}{2} = 5\frac{1}{2} = 5.5$$

Steps for Solving Linear Equation

Multiply 2 and 5 to get 10.

$$y-\frac{\frac{10+2}{5}-\frac{1\times 10+3}{10}}{\frac{2\times 5+1}{5}}=5$$

Add 10 and 2 to get 12.

$$y-\frac{\frac{12}{5}-\frac{1\times 10+3}{10}}{\frac{2\times 5+1}{5}}=5$$

Multiply 1 and 10 to get 10.

$$y-\frac{\frac{12}{5}-\frac{10+3}{10}}{\frac{2\times 5+1}{5}}=5$$

Add 10 and 3 to get 13.

$$y-\frac{\frac{12}{5}-\frac{13}{10}}{\frac{2\times 5+1}{5}}=5$$

Least common multiple of 5 and 10 is 10. Convert \frac{12}{5} and \frac{13}{10} to fractions with denominator 10.

$$y-\frac{\frac{24}{10}-\frac{13}{10}}{\frac{2\times 5+1}{5}}=5$$

Since \frac{24}{10} and \frac{13}{10} have the same denominator, subtract them by subtracting their numerators.

$$y-\frac{\frac{24-13}{10}}{\frac{2\times 5+1}{5}}=5$$

Subtract 13 from 24 to get 11.

$$y-\frac{\frac{11}{10}}{\frac{2\times 5+1}{5}}=5$$

Multiply 2 and 5 to get 10.

$$y-\frac{\frac{11}{10}}{\frac{10+1}{5}}=5$$

Add 10 and 1 to get 11.

$$y-\frac{\frac{11}{10}}{\frac{11}{5}}=5$$

Divide \frac{11}{10} by \frac{11}{5} by multiplying \frac{11}{10} by the reciprocal of \frac{11}{5}.

$$y-\frac{11}{10}\times \frac{5}{11}=5$$

Multiply \frac{11}{10} times \frac{5}{11} by multiplying numerator times numerator and denominator times denominator.

$$y-\frac{11\times 5}{10\times 11}=5$$

Cancel out 11 in both numerator and denominator.

$$y-\frac{5}{10}=5$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

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

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

$$y=5+\frac{1}{2}$$

Convert 5 to fraction \frac{10}{2}.

$$y=\frac{10}{2}+\frac{1}{2}$$

Since \frac{10}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$y=\frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$y=\frac{11}{2}$$