Solve -frac{2sqrt{2-y}}{-2}=2-4/-2

$$- \frac { 2 \sqrt { 2 - y } } { - 2 } = \frac { 2 - 4 } { - 2 }$$

Solve for y

$$y=1$$

Steps for Solving Radical Equations

Multiply both sides of the equation by -2.

$$-2\sqrt{2-y}=2-4$$

Subtract 4 from 2 to get -2.

$$-2\sqrt{2-y}=-2$$

Divide both sides by -2.

$$\sqrt{2-y}=\frac{-2}{-2}$$

Divide -2 by -2 to get 1.

$$\sqrt{2-y}=1$$

Square both sides of the equation.

$$-y+2=1$$

Subtract 2 from both sides of the equation.

$$-y+2-2=1-2$$

Subtracting 2 from itself leaves 0.

$$-y=1-2$$

Subtract 2 from 1.

$$-y=-1$$

Divide both sides by -1.

$$\frac{-y}{-1}=-\frac{1}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=-\frac{1}{-1}$$

Divide -1 by -1.

$$y=1$$