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Simplifying (y + 3)(y + -3) + -1y(y + 5) = 6 Reorder the terms: (3 + y)(y + -3) + -1y(y + 5) = 6 Reorder the terms: (3 + y)(-3 + y) + -1y(y + 5) = 6 Multiply (3 + y) * (-3 + y) (3(-3 + y) + y(-3 + y)) + -1y(y + 5) = 6 ((-3 * 3 + y * 3) + y(-3 + y)) + -1y(y + 5) = 6 ((-9 + 3y) + y(-3 + y)) + -1y(y + 5) = 6 (-9 + 3y + (-3 * y + y * y)) + -1y(y + 5) = 6 (-9 + 3y + (-3y + y2)) + -1y(y + 5) = 6 Combine like terms: 3y + -3y = 0 (-9 + 0 + y2) + -1y(y + 5) = 6 (-9 + y2) + -1y(y + 5) = 6 Reorder the terms: -9 + y2 + -1y(5 + y) = 6 -9 + y2 + (5 * -1y + y * -1y) = 6 -9 + y2 + (-5y + -1y2) = 6 Reorder the terms: -9 + -5y + y2 + -1y2 = 6 Combine like terms: y2 + -1y2 = 0 -9 + -5y + 0 = 6 -9 + -5y = 6 Solving -9 + -5y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5y = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -5y = 6 + 9 -5y = 6 + 9 Combine like terms: 6 + 9 = 15 -5y = 15 Divide each side by '-5'. y = -3 Simplifying y = -3
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