In △ABC , point D is between points A and B, and point E is between points B and C. Point Y is the incenter of the triangle, YD¯¯¯¯¯⊥AB¯¯¯¯¯ , and YE¯¯¯¯¯⊥BC¯¯¯¯¯ . DB=45 and YB=51 . What is YE ? Enter your answer in the box.