4y^2 + 8y -96 = 4*(y^2 + 2y - 24)
Now you need to find two number that add to +2 and multiply to -24. Those numbers are +6 and -4.
Therefore y^2 + 2y - 24 = (y + 6)*(y - 4)
and 4y^2 + 8y -96 = 4*(y + 6)*(y - 4)
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4y^2 + 8y -96 = 4*(y^2 + 2y - 24)
Now you need to find two number that add to +2 and multiply to -24. Those numbers are +6 and -4.
Therefore y^2 + 2y - 24 = (y + 6)*(y - 4)
and 4y^2 + 8y -96 = 4*(y + 6)*(y - 4)