Dubya

Algebra Level 4

\[ y = |x| + 2|x+1| - 3|x+2| + 4|x+3| \]

It's given that \( y = \mathscr{E} \) has only two intersections with the above equation. What is the minimum integral value of \( \mathscr{E} \) that meets this condition?

\[\] Notation: \( | \cdot | \) denotes the absolute value function.

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