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Simplifying (y + 5)(y + -4) = y2 Reorder the terms: (5 + y)(y + -4) = y2 Reorder the terms: (5 + y)(-4 + y) = y2 Multiply (5 + y) * (-4 + y) (5(-4 + y) + y(-4 + y)) = y2 ((-4 * 5 + y * 5) + y(-4 + y)) = y2 ((-20 + 5y) + y(-4 + y)) = y2 (-20 + 5y + (-4 * y + y * y)) = y2 (-20 + 5y + (-4y + y2)) = y2 Combine like terms: 5y + -4y = 1y (-20 + 1y + y2) = y2 Add '-1y2' to each side of the equation. -20 + 1y + y2 + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -20 + 1y + 0 = y2 + -1y2 -20 + 1y = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -20 + 1y = 0 Solving -20 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1y = 0 + 20 1y = 0 + 20 Combine like terms: 0 + 20 = 20 1y = 20 Divide each side by '1'. y = 20 Simplifying y = 20
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