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Simplifying 9 + y2 = (y + -4)(y + -1) Reorder the terms: 9 + y2 = (-4 + y)(y + -1) Reorder the terms: 9 + y2 = (-4 + y)(-1 + y) Multiply (-4 + y) * (-1 + y) 9 + y2 = (-4(-1 + y) + y(-1 + y)) 9 + y2 = ((-1 * -4 + y * -4) + y(-1 + y)) 9 + y2 = ((4 + -4y) + y(-1 + y)) 9 + y2 = (4 + -4y + (-1 * y + y * y)) 9 + y2 = (4 + -4y + (-1y + y2)) Combine like terms: -4y + -1y = -5y 9 + y2 = (4 + -5y + y2) Add '-1y2' to each side of the equation. 9 + y2 + -1y2 = 4 + -5y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 9 + 0 = 4 + -5y + y2 + -1y2 9 = 4 + -5y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 9 = 4 + -5y + 0 9 = 4 + -5y Solving 9 = 4 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 9 + 5y = 4 + -5y + 5y Combine like terms: -5y + 5y = 0 9 + 5y = 4 + 0 9 + 5y = 4 Add '-9' to each side of the equation. 9 + -9 + 5y = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 5y = 4 + -9 5y = 4 + -9 Combine like terms: 4 + -9 = -5 5y = -5 Divide each side by '5'. y = -1 Simplifying y = -1
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