Solve y=4/3(-5)+3

$$y = \frac { 4 } { 3 } ( - 5 ) + 3$$

Solve for y

$$y = -\frac{11}{3} = -3\frac{2}{3} \approx -3.666666667$$

Steps for Solving Linear Equation

Express \frac{4}{3}\left(-5\right) as a single fraction.

$$y=\frac{4\left(-5\right)}{3}+3$$

Multiply 4 and -5 to get -20.

$$y=\frac{-20}{3}+3$$

Fraction \frac{-20}{3} can be rewritten as -\frac{20}{3} by extracting the negative sign.

$$y=-\frac{20}{3}+3$$

Convert 3 to fraction \frac{9}{3}.

$$y=-\frac{20}{3}+\frac{9}{3}$$

Since -\frac{20}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.

$$y=\frac{-20+9}{3}$$

Add -20 and 9 to get -11.

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

Assign y

$$y≔-\frac{11}{3}$$