Solve y=-4/32^2+8(2)-18

$$y=- \frac{ 4 }{ 3 } { 2 }^{ 2 } +8(2)-18$$

Solve for y

$$y = -\frac{22}{3} = -7\frac{1}{3} \approx -7.333333333$$

Steps for Solving Linear Equation

Calculate 2 to the power of 2 and get 4.

$$y=-\frac{4}{3}\times 4+8\times 2-18$$

Express -\frac{4}{3}\times 4 as a single fraction.

$$y=\frac{-4\times 4}{3}+8\times 2-18$$

Multiply -4 and 4 to get -16.

$$y=\frac{-16}{3}+8\times 2-18$$

Fraction \frac{-16}{3} can be rewritten as -\frac{16}{3} by extracting the negative sign.

$$y=-\frac{16}{3}+8\times 2-18$$

Multiply 8 and 2 to get 16.

$$y=-\frac{16}{3}+16-18$$

Convert 16 to fraction \frac{48}{3}.

$$y=-\frac{16}{3}+\frac{48}{3}-18$$

Since -\frac{16}{3} and \frac{48}{3} have the same denominator, add them by adding their numerators.

$$y=\frac{-16+48}{3}-18$$

Add -16 and 48 to get 32.

$$y=\frac{32}{3}-18$$

Convert 18 to fraction \frac{54}{3}.

$$y=\frac{32}{3}-\frac{54}{3}$$

Since \frac{32}{3} and \frac{54}{3} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{32-54}{3}$$

Subtract 54 from 32 to get -22.

$$y=-\frac{22}{3}$$

Assign y

$$y≔-\frac{22}{3}$$