To remove the radical on the left side of the equation, square both sides of the equation.

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify.

Apply the distributive property.

Multiply by .

Move all terms containing to the left side of the equation.

Subtract from both sides of the equation.

Combine the opposite terms in .

Subtract from .

Add and .

Since , there are no solutions.

No solution

No solution

Solve for y square root of 2y+4 = square root of 2y-4