Solve y=-2(7/2)^2+7(7/2)+16*2

$$y = - 2 ( \frac { 7 } { 2 } ) ^ { 2 } + 7 ( \frac { 7 } { 2 } ) + 16 \cdot 2$$

Solve for y

$$y=32$$

Steps for Solving Linear Equation

Calculate \frac{7}{2} to the power of 2 and get \frac{49}{4}.

$$y=-2\times \frac{49}{4}+7\times \frac{7}{2}+16\times 2$$

Express -2\times \frac{49}{4} as a single fraction.

$$y=\frac{-2\times 49}{4}+7\times \frac{7}{2}+16\times 2$$

Multiply -2 and 49 to get -98.

$$y=\frac{-98}{4}+7\times \frac{7}{2}+16\times 2$$

Reduce the fraction \frac{-98}{4} to lowest terms by extracting and canceling out 2.

$$y=-\frac{49}{2}+7\times \frac{7}{2}+16\times 2$$

Express 7\times \frac{7}{2} as a single fraction.

$$y=-\frac{49}{2}+\frac{7\times 7}{2}+16\times 2$$

Multiply 7 and 7 to get 49.

$$y=-\frac{49}{2}+\frac{49}{2}+16\times 2$$

Add -\frac{49}{2} and \frac{49}{2} to get 0.

$$y=16\times 2$$

Multiply 16 and 2 to get 32.

$$y=32$$

Assign y

$$y≔32$$