Solve 4/3-5y=11

$$\frac { 4 } { 3 } - 5 y = 11$$

Solve for y

$$y = -\frac{29}{15} = -1\frac{14}{15} \approx -1.933333333$$

Steps for Solving Linear Equation

Subtract \frac{4}{3} from both sides.

$$-5y=11-\frac{4}{3}$$

Convert 11 to fraction \frac{33}{3}.

$$-5y=\frac{33}{3}-\frac{4}{3}$$

Since \frac{33}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$-5y=\frac{33-4}{3}$$

Subtract 4 from 33 to get 29.

$$-5y=\frac{29}{3}$$

Divide both sides by -5.

$$y=\frac{\frac{29}{3}}{-5}$$

Express \frac{\frac{29}{3}}{-5} as a single fraction.

$$y=\frac{29}{3\left(-5\right)}$$

Multiply 3 and -5 to get -15.

$$y=\frac{29}{-15}$$

Fraction \frac{29}{-15} can be rewritten as -\frac{29}{15} by extracting the negative sign.

$$y=-\frac{29}{15}$$