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Simplifying y2 + (2p + -8) * y = 2q + 9 Reorder the terms: y2 + (-8 + 2p) * y = 2q + 9 Reorder the terms for easier multiplication: y2 + y(-8 + 2p) = 2q + 9 y2 + (-8 * y + 2p * y) = 2q + 9 Reorder the terms: y2 + (2py + -8y) = 2q + 9 y2 + (2py + -8y) = 2q + 9 Reorder the terms: 2py + -8y + y2 = 2q + 9 Reorder the terms: 2py + -8y + y2 = 9 + 2q Solving 2py + -8y + y2 = 9 + 2q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8y' to each side of the equation. 2py + -8y + 8y + y2 = 9 + 2q + 8y Combine like terms: -8y + 8y = 0 2py + 0 + y2 = 9 + 2q + 8y 2py + y2 = 9 + 2q + 8y Add '-1y2' to each side of the equation. 2py + y2 + -1y2 = 9 + 2q + 8y + -1y2 Combine like terms: y2 + -1y2 = 0 2py + 0 = 9 + 2q + 8y + -1y2 2py = 9 + 2q + 8y + -1y2 Divide each side by '2y'. p = 4.5y-1 + qy-1 + 4 + -0.5y Simplifying p = 4.5y-1 + qy-1 + 4 + -0.5y Reorder the terms: p = 4 + qy-1 + 4.5y-1 + -0.5y
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