can bad shocks cause vibrations while driving? Options

[brianforster]

well i thought my tires needed balancing because there was kind of this pulsating (sometimes it didnt pulsate but sometimes it did) vibration coming from the rear, specifically the rear drivers side but sometimes the rear pasasenger side.

now im sure the shocks on my car are really old because i remember when swapping they didnt look too hot. i am going to replace them and put on some teins here soon, but im wondering other than shocks what else could cause this kind of vibration from the rear.

[Snodalo]

when i got my tires rotated, thats when the vibrations occured whenever id be going 60-80