running out of room on macbook air after switching to iCloud + iTunes match

[ltb7]

i have an iMac that i use to buy music, purchase apps, photos, movies and so forth, i have on occasion download some music or a few apps on the macbook air - when i switched to iCloud and also bought iTunes match everything began to appear on my macbook air - if i delete the apps for starts from my macbook air will i lose all of my apps on the iMac? it is telling me that i will lose any apps on my devices - i do not sync with the macbook air (have iPhone +iPad) what do i do to remove all of the apps on my macbook air but not my iMac? the memory issues is so bad that it is telling me i am running out of space for the start up disk - thanks for any help!!