Solve left(0+5right)^2=-20(y-9.5)

$${ \left(0+5 \right) }^{ 2 } =-20(y-9.5)$$

Solve for y

$$y=8.25$$

Steps for Solving Linear Equation

Add 0 and 5 to get 5.

$$5^{2}=-20\left(y-9.5\right)$$

Calculate 5 to the power of 2 and get 25.

$$25=-20\left(y-9.5\right)$$

Use the distributive property to multiply -20 by y-9.5.

$$25=-20y+190$$

Swap sides so that all variable terms are on the left hand side.

$$-20y+190=25$$

Subtract 190 from both sides.

$$-20y=25-190$$

Subtract 190 from 25 to get -165.

$$-20y=-165$$

Divide both sides by -20.

$$y=\frac{-165}{-20}$$

Reduce the fraction \frac{-165}{-20} to lowest terms by extracting and canceling out -5.

$$y=\frac{33}{4}$$