Dubya part 2

Algebra Level 4

When y7 y \leqslant 7 is graphed, all areas below y7 y \leqslant 7 and on/above the curve y=x+2x+13x+2+4x+3 y = |x| + 2|x+1| - 3|x+2| +4 |x+3| are shaded. If the area of the shaded region is E \mathscr{E} , find 1000E \left \lfloor 1000 \mathscr{E} \right \rfloor .

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