For what values of y does the following equation have no solutions for x?

xy + 4x + 2y + 8 = 1

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\(xy + 4x + 2y + 8 = 1\\ xy+4x=1-8-2y\\ x=-\dfrac{2y+7}{y+4}\)

For y = - 4 does the equation have no solutions for x.

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