Solve y=-(5/3)^2+2*5/3+3

$$y = - ( \frac { 5 } { 3 } ) ^ { 2 } + 2 \times \frac { 5 } { 3 } + 3$$

Solve for y

$$y = \frac{32}{9} = 3\frac{5}{9} \approx 3.555555556$$

Steps for Solving Linear Equation

Calculate \frac{5}{3} to the power of 2 and get \frac{25}{9}.

$$y=-\frac{25}{9}+2\times \frac{5}{3}+3$$

Express 2\times \frac{5}{3} as a single fraction.

$$y=-\frac{25}{9}+\frac{2\times 5}{3}+3$$

Multiply 2 and 5 to get 10.

$$y=-\frac{25}{9}+\frac{10}{3}+3$$

Least common multiple of 9 and 3 is 9. Convert -\frac{25}{9} and \frac{10}{3} to fractions with denominator 9.

$$y=-\frac{25}{9}+\frac{30}{9}+3$$

Since -\frac{25}{9} and \frac{30}{9} have the same denominator, add them by adding their numerators.

$$y=\frac{-25+30}{9}+3$$

Add -25 and 30 to get 5.

$$y=\frac{5}{9}+3$$

Convert 3 to fraction \frac{27}{9}.

$$y=\frac{5}{9}+\frac{27}{9}$$

Since \frac{5}{9} and \frac{27}{9} have the same denominator, add them by adding their numerators.

$$y=\frac{5+27}{9}$$

Add 5 and 27 to get 32.

$$y=\frac{32}{9}$$

Assign y

$$y≔\frac{32}{9}$$