1 INTRODUCTION  
2 SAMPLE AND OBSERVATIONS  
3 LYMAN-ALPHA SPECTRA  
3.1 Lyman-alpha Detections  
3.2 Lyman-alpha Non-detections  
3.3 Lyman-alpha Escape Fractions from REBELS Galaxies  
4 ANALYSIS  
4.1 Lyman-alpha Velocity Offsets of UV-bright  $z>6$  Galaxies  
4.2 Lyman-alpha Line Widths of UV-luminous  $z>6$  Galaxies  
4.3 The Dependence of [CII] Production on Lyman-alpha EW at  $z\sim7$  
5 DISCUSSION  
6 SUMMARY