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To factor the quadratic expression y^2 - 3y - 54, we need to find two numbers that multiply to -54 and add up to -3.
The two numbers are -9 and 6 because -9 * 6 = -54 and -9 + 6 = -3.
Therefore, we can rewrite the expression as:
y^2 - 3y - 54 = (y - 9)(y + 6)