CAT 2017 Quantitative Ability

Let us rearrange the equation
   $3\mathit{x}=33-4|\mathit{y}|$
Since x and y are integers, and since |y| is always positive regardless of the sign of y, this means that when you subtract a multiple of 4 form 33, you should get a multiple of 3.
Since 33 is already a multiple of 3, in order to obtain another multiple of 3, you will have to subtract a multiple of 3 from it. So. y has to be a positive or a negative multiple of 3.
$\mathit{y}=3,-3,6.-6,9,-9.12,-12......$ etc.For every value of y, x will have a corresponding integer value So there are infinite integer values possible for x and y