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Which equations define $y$ as a linear function of $x$? Select all that apply.$\newline$Multi-select Choices:$\newline$(A) $y = 5x^3$$\newline$(B) $y - 4 = x^5$$\newline$(C) $-3y = 12$$\newline$(D) $y = \frac{4x^2}{5}$$\newline$(E) $y = -2 + 12x$$\newline$(F) $3x - y = 9$