A Parabola's Middle Coefficient

Algebra Level 3

The parabola \( y = ax^2 + bx + c \) (with \( a \neq 0 \) ) has vertex \( (v,v) \) and \( y \)-intercept \( (0,-v) \) where \( v \neq 0 \). Find the value of \( b \).

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