Is the examiner's given answer wrong? (Absolute value and points of intersection question)

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Part b) of this question to find the points of intersection of $y = |2x+3| - 4$ and $ y=-\frac{1}{4}x + 2$

problem

However, in the given answer set, they seemed to have ignored the $-4$ constant in the first equation:

examiner answer

I have no idea why they would do this, and thus I got an different answer to that of the mark scheme. Am I wrong or is the examiner?