sympathize  
verb [ I ] (UK usually sympathise) uk/ˈsɪm.pə.θaɪz/ us/ˈsɪm.pə.θaɪz/
  (UNDERSTAND)      
 C2 同情,体谅,怜悯
to understand and care about someone's problems
  I know what it's like to have migraines, so I really sympathize (with you). 我知道得偏头痛有多难受,所以我真的很同情你。 
   (SUPPORT)      
 支持
to support and agree with someone or something
  I sympathize with the general aims of the organization, but on this particular issue I disagree. 我支持这个机构的总体目标,但在这个具体议题上,恐怕我不能苟同。