My Lenovo Y410P's speakers do not work.

First make sure the speakers are enabled by right clicking the volume icon in the bottom right of the screen and making sure "speakers" are selected as default playback device. If that doesn't change anything make sure the sound driver is up to date by going to device manager, clicking on the sound device and then clicking update driver. If none of this works it is most likely a hardware issue. Open up the laptop and make sure the plug is securely plugged in and the wires are not damaged. In rare cases the speakers themselves could be broken and will need to be replaced.