Solve 1=sqrt{5y+14}-2

$$1 = \sqrt { 5 y + 14 } - 2$$

Solve for y

$$y=-1$$

Steps for Solving Radical Equations

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

$$\sqrt{5y+14}-2=1$$

Add 2 to both sides.

$$\sqrt{5y+14}=1+2$$

Add 1 and 2 to get 3.

$$\sqrt{5y+14}=3$$

Square both sides of the equation.

$$5y+14=9$$

Subtract 14 from both sides of the equation.

$$5y+14-14=9-14$$

Subtracting 14 from itself leaves 0.

$$5y=9-14$$

Subtract 14 from 9.

$$5y=-5$$

Divide both sides by 5.

$$\frac{5y}{5}=-\frac{5}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$y=-\frac{5}{5}$$

Divide -5 by 5.

$$y=-1$$