A Pre-RMO question! -10

Algebra Level 2

If p(y)p(y) is a polynomial and if (15y1511y+1)p(y)=2005y2005(15y^{15}-11y+1)p(y)=2005y^{2005} then find the sum of all the coefficients and the constant term in p(y)p(y)

Note: In original problem it was mentioned the unit digit of the sum of the coefficients

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