Solve -6y=11-47/11

$$- 6 y = 11 - \frac { 47 } { 11 }$$

Solve for y

$$y = -\frac{37}{33} = -1\frac{4}{33} \approx -1.121212121$$

Steps for Solving Linear Equation

Convert 11 to fraction \frac{121}{11}.

$$-6y=\frac{121}{11}-\frac{47}{11}$$

Since \frac{121}{11} and \frac{47}{11} have the same denominator, subtract them by subtracting their numerators.

$$-6y=\frac{121-47}{11}$$

Subtract 47 from 121 to get 74.

$$-6y=\frac{74}{11}$$

Divide both sides by -6.

$$y=\frac{\frac{74}{11}}{-6}$$

Express \frac{\frac{74}{11}}{-6} as a single fraction.

$$y=\frac{74}{11\left(-6\right)}$$

Multiply 11 and -6 to get -66.

$$y=\frac{74}{-66}$$

Reduce the fraction \frac{74}{-66} to lowest terms by extracting and canceling out 2.

$$y=-\frac{37}{33}$$