If x and y are integers such that x^2-4x+2y+6=2x^2-5x+y-6, we can deduce that y is Choose one:  A) not an even  B) an even  C) a perfect square  D) an odd  E) a prime
x^2 - 4x + 2y + 6 = 2x^2 - 5x + y - 6   y = x^2 - x - 12   y = (x-4)(x+3) (Note that one factor is even and one factor is odd.)   Then y must be even.   The answer is an even.
<result>B</result>
If x and y are integers such that x^2-4x+2y+6=2x^2-5x+y-6, we can deduce that y is