Solve 5y=27/13-4

$$5y= \frac{ 27 }{ 13 } -4$$

Solve for y

$$y=-\frac{5}{13}\approx -0.384615385$$

Steps for Solving Linear Equation

Convert 4 to fraction \frac{52}{13}.

$$5y=\frac{27}{13}-\frac{52}{13}$$

Since \frac{27}{13} and \frac{52}{13} have the same denominator, subtract them by subtracting their numerators.

$$5y=\frac{27-52}{13}$$

Subtract 52 from 27 to get -25.

$$5y=-\frac{25}{13}$$

Divide both sides by 5.

$$y=\frac{-\frac{25}{13}}{5}$$

Express \frac{-\frac{25}{13}}{5} as a single fraction.

$$y=\frac{-25}{13\times 5}$$

Multiply 13 and 5 to get 65.

$$y=\frac{-25}{65}$$

Reduce the fraction \frac{-25}{65} to lowest terms by extracting and canceling out 5.

$$y=-\frac{5}{13}$$