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Simplifying y2 + 10y + -5 = (y + 3)(y + -1) Reorder the terms: -5 + 10y + y2 = (y + 3)(y + -1) Reorder the terms: -5 + 10y + y2 = (3 + y)(y + -1) Reorder the terms: -5 + 10y + y2 = (3 + y)(-1 + y) Multiply (3 + y) * (-1 + y) -5 + 10y + y2 = (3(-1 + y) + y(-1 + y)) -5 + 10y + y2 = ((-1 * 3 + y * 3) + y(-1 + y)) -5 + 10y + y2 = ((-3 + 3y) + y(-1 + y)) -5 + 10y + y2 = (-3 + 3y + (-1 * y + y * y)) -5 + 10y + y2 = (-3 + 3y + (-1y + y2)) Combine like terms: 3y + -1y = 2y -5 + 10y + y2 = (-3 + 2y + y2) Add '-1y2' to each side of the equation. -5 + 10y + y2 + -1y2 = -3 + 2y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -5 + 10y + 0 = -3 + 2y + y2 + -1y2 -5 + 10y = -3 + 2y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -5 + 10y = -3 + 2y + 0 -5 + 10y = -3 + 2y Solving -5 + 10y = -3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -5 + 10y + -2y = -3 + 2y + -2y Combine like terms: 10y + -2y = 8y -5 + 8y = -3 + 2y + -2y Combine like terms: 2y + -2y = 0 -5 + 8y = -3 + 0 -5 + 8y = -3 Add '5' to each side of the equation. -5 + 5 + 8y = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 8y = -3 + 5 8y = -3 + 5 Combine like terms: -3 + 5 = 2 8y = 2 Divide each side by '8'. y = 0.25 Simplifying y = 0.25
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