How many $$(x,y)$$ are there?

Algebra Level 4

How many real numbered ordered pairs $$(x, y)$$ satisfy the following inequalities:

\begin{align} (x+2y)^2 &\leq (2x-3)(4y+3)\\ (x-2y)^2 &\leq (5-2x)(4y-5)? \end{align}

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