TR-MO-R1 2019 Problem 10

$x$ ve $y$ tam sayılar ve $x^2y - 15 = 2x(y+1)$ olmak üzere, $x+y$ nin alabileceği farklı değerler toplamı kaçtır?

a) $-25$ b) $-14$ c) $-8$ d) $-6$ e) $0$

Official text Turkish Mathematical Olympiad, first round 2019 official paper, page 6. Quoted with source.

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