I think the second line is:
Another way to think if you open up your eyes

The stuff in parentheses are Joel's vocals...

(I know) Cause I know another way to turn if you go around and look (turn) back.
(and I know) Another way to think if you open up your eyes
(and I know) Cause I know the way you're brought up and the way you're (the way you think to) supposed to think.
(and I know) Cause I know to look before jump and jump before you look.

(I know) Cause I know another way to breathe if you open up (another way to dream?) your eyes wide.
(and I know) Cause I know to take a deep breath and take (take a deep breath) it real clear.
(and I know) Cause I know another way to believe when (another way to believe) everything opens up.
(and I know) Cause I know to think before you speak and think before you act.

(I know) Another way to blink when everything (everything to breathe) goes wrong.
(and I know) Cause I know when life's too short (life's to short) and not so long/hard(?).
(and I know) Cause I know the way your brought up and what (what you believe in) you believe in.
(and I know) Cause I know to look before you jump and jump before you look.

(Thanks to Matt Q)