Solve 4-1/5/5+y/4=23

$$\frac { 4 - \frac { 1 } { 5 } } { 5 } + \frac { y } { 4 } = 23$$

Solve for y

$$y = \frac{2224}{25} = 88\frac{24}{25} = 88.96$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$4\left(4-\frac{1}{5}\right)+5y=460$$

Convert 4 to fraction \frac{20}{5}.

$$4\left(\frac{20}{5}-\frac{1}{5}\right)+5y=460$$

Since \frac{20}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$4\times \frac{20-1}{5}+5y=460$$

Subtract 1 from 20 to get 19.

$$4\times \frac{19}{5}+5y=460$$

Express 4\times \frac{19}{5} as a single fraction.

$$\frac{4\times 19}{5}+5y=460$$

Multiply 4 and 19 to get 76.

$$\frac{76}{5}+5y=460$$

Subtract \frac{76}{5} from both sides.

$$5y=460-\frac{76}{5}$$

Convert 460 to fraction \frac{2300}{5}.

$$5y=\frac{2300}{5}-\frac{76}{5}$$

Since \frac{2300}{5} and \frac{76}{5} have the same denominator, subtract them by subtracting their numerators.

$$5y=\frac{2300-76}{5}$$

Subtract 76 from 2300 to get 2224.

$$5y=\frac{2224}{5}$$

Divide both sides by 5.

$$y=\frac{\frac{2224}{5}}{5}$$

Express \frac{\frac{2224}{5}}{5} as a single fraction.

$$y=\frac{2224}{5\times 5}$$

Multiply 5 and 5 to get 25.

$$y=\frac{2224}{25}$$