Solve 29.3=sqrt{33.2(33.2-y)}

$$29.3= \sqrt{ 33.2(33.2-y) }$$

Solve for y

$$y = \frac{4875}{664} = 7\frac{227}{664} \approx 7.34186747$$

Steps for Solving Radical Equations

Use the distributive property to multiply 33.2 by 33.2-y.

$$29.3=\sqrt{1102.24-33.2y}$$

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

$$\sqrt{1102.24-33.2y}=29.3$$

Square both sides of the equation.

$$-33.2y+1102.24=858.49$$

Subtract 1102.24 from both sides of the equation.

$$-33.2y+1102.24-1102.24=858.49-1102.24$$

Subtracting 1102.24 from itself leaves 0.

$$-33.2y=858.49-1102.24$$

Subtract 1102.24 from 858.49 by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.

$$-33.2y=-243.75$$

Divide both sides of the equation by -33.2, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-33.2y}{-33.2}=-\frac{243.75}{-33.2}$$

Dividing by -33.2 undoes the multiplication by -33.2.

$$y=-\frac{243.75}{-33.2}$$

Divide -243.75 by -33.2 by multiplying -243.75 by the reciprocal of -33.2.

$$y=\frac{4875}{664}$$