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Simplifying 2(y + 5)(y + -5) = 48 Reorder the terms: 2(5 + y)(y + -5) = 48 Reorder the terms: 2(5 + y)(-5 + y) = 48 Multiply (5 + y) * (-5 + y) 2(5(-5 + y) + y(-5 + y)) = 48 2((-5 * 5 + y * 5) + y(-5 + y)) = 48 2((-25 + 5y) + y(-5 + y)) = 48 2(-25 + 5y + (-5 * y + y * y)) = 48 2(-25 + 5y + (-5y + y2)) = 48 Combine like terms: 5y + -5y = 0 2(-25 + 0 + y2) = 48 2(-25 + y2) = 48 (-25 * 2 + y2 * 2) = 48 (-50 + 2y2) = 48 Solving -50 + 2y2 = 48 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 2y2 = 48 + 50 Combine like terms: -50 + 50 = 0 0 + 2y2 = 48 + 50 2y2 = 48 + 50 Combine like terms: 48 + 50 = 98 2y2 = 98 Divide each side by '2'. y2 = 49 Simplifying y2 = 49 Take the square root of each side: y = {-7, 7}
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