Solve mu_{y}=4/9*(-2)+3/9*0+2/9*1=

$$\mu _ { y } = \frac { 4 } { 9 } \times ( - 2 ) + \frac { 3 } { 9 } \times 0 + \frac { 2 } { 9 } \times 1 =$$

Solve for μ_y

$$\mu _{y}=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

Express \frac{4}{9}\left(-2\right) as a single fraction.

$$\mu _{y}=\frac{4\left(-2\right)}{9}+\frac{3}{9}\times 0+\frac{2}{9}\times 1$$

Multiply 4 and -2 to get -8.

$$\mu _{y}=\frac{-8}{9}+\frac{3}{9}\times 0+\frac{2}{9}\times 1$$

Fraction \frac{-8}{9} can be rewritten as -\frac{8}{9} by extracting the negative sign.

$$\mu _{y}=-\frac{8}{9}+\frac{3}{9}\times 0+\frac{2}{9}\times 1$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\mu _{y}=-\frac{8}{9}+\frac{1}{3}\times 0+\frac{2}{9}\times 1$$

Multiply \frac{1}{3} and 0 to get 0.

$$\mu _{y}=-\frac{8}{9}+0+\frac{2}{9}\times 1$$

Add -\frac{8}{9} and 0 to get -\frac{8}{9}.

$$\mu _{y}=-\frac{8}{9}+\frac{2}{9}\times 1$$

Multiply \frac{2}{9} and 1 to get \frac{2}{9}.

$$\mu _{y}=-\frac{8}{9}+\frac{2}{9}$$

Since -\frac{8}{9} and \frac{2}{9} have the same denominator, add them by adding their numerators.

$$\mu _{y}=\frac{-8+2}{9}$$

Add -8 and 2 to get -6.

$$\mu _{y}=\frac{-6}{9}$$

Reduce the fraction \frac{-6}{9} to lowest terms by extracting and canceling out 3.

$$\mu _{y}=-\frac{2}{3}$$

Assign μ_y

$$\mu _{y}≔-\frac{2}{3}$$