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Simplifying y(y + -2) = (y + -5)(y + -3) Reorder the terms: y(-2 + y) = (y + -5)(y + -3) (-2 * y + y * y) = (y + -5)(y + -3) (-2y + y2) = (y + -5)(y + -3) Reorder the terms: -2y + y2 = (-5 + y)(y + -3) Reorder the terms: -2y + y2 = (-5 + y)(-3 + y) Multiply (-5 + y) * (-3 + y) -2y + y2 = (-5(-3 + y) + y(-3 + y)) -2y + y2 = ((-3 * -5 + y * -5) + y(-3 + y)) -2y + y2 = ((15 + -5y) + y(-3 + y)) -2y + y2 = (15 + -5y + (-3 * y + y * y)) -2y + y2 = (15 + -5y + (-3y + y2)) Combine like terms: -5y + -3y = -8y -2y + y2 = (15 + -8y + y2) Add '-1y2' to each side of the equation. -2y + y2 + -1y2 = 15 + -8y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -2y + 0 = 15 + -8y + y2 + -1y2 -2y = 15 + -8y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -2y = 15 + -8y + 0 -2y = 15 + -8y Solving -2y = 15 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -2y + 8y = 15 + -8y + 8y Combine like terms: -2y + 8y = 6y 6y = 15 + -8y + 8y Combine like terms: -8y + 8y = 0 6y = 15 + 0 6y = 15 Divide each side by '6'. y = 2.5 Simplifying y = 2.5
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