Dubya part 2

Algebra Level 4

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

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