Solving "sin 2x = sin 2y" with Double Angle Identity

[Kuma]

Homework Statement

I'm stuck on a question that results in this equality

sin 2x = sin 2y

how do I solve that for x or y?
the only identity is the double angle one I can use I think but I don't know how that would help.

Homework Equations

The Attempt at a Solution

 

[LCKurtz]

Homework Statement

I'm stuck on a question that results in this equality

sin 2x = sin 2y

how do I solve that for x or y?
the only identity is the double angle one I can use I think but I don't know how that would help.

Homework Equations

The Attempt at a Solution

$2x = 2y + n\pi$