Solve y=-1/3*(-1)^2+2(-1)+3

$$y = - \frac { 1 } { 3 } \cdot ( - 1 ) ^ { 2 } + 2 ( - 1 ) + 3$$

Solve for y

$$y=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Calculate -1 to the power of 2 and get 1.

$$y=-\frac{1}{3}+2\left(-1\right)+3$$

Multiply 2 and -1 to get -2.

$$y=-\frac{1}{3}-2+3$$

Convert 2 to fraction \frac{6}{3}.

$$y=-\frac{1}{3}-\frac{6}{3}+3$$

Since -\frac{1}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{-1-6}{3}+3$$

Subtract 6 from -1 to get -7.

$$y=-\frac{7}{3}+3$$

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

$$y=-\frac{7}{3}+\frac{9}{3}$$

Since -\frac{7}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.

$$y=\frac{-7+9}{3}$$

Add -7 and 9 to get 2.

$$y=\frac{2}{3}$$

Assign y

$$y≔\frac{2}{3}$$