If x is an integer and y is a non-negative integer such that 4x-3y = 36 and |y - 3| < 16, then how many ordered pairs (x, y) satisfy the given conditions?

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What this question tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.