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Simplifying 3p + 4(4y2 + 6y + 5) = y2 + 7y + -1 Reorder the terms: 3p + 4(5 + 6y + 4y2) = y2 + 7y + -1 3p + (5 * 4 + 6y * 4 + 4y2 * 4) = y2 + 7y + -1 3p + (20 + 24y + 16y2) = y2 + 7y + -1 Reorder the terms: 20 + 3p + 24y + 16y2 = y2 + 7y + -1 Reorder the terms: 20 + 3p + 24y + 16y2 = -1 + 7y + y2 Solving 20 + 3p + 24y + 16y2 = -1 + 7y + y2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 3p + 24y + -20 + 16y2 = -1 + 7y + -20 + y2 Reorder the terms: 20 + -20 + 3p + 24y + 16y2 = -1 + 7y + -20 + y2 Combine like terms: 20 + -20 = 0 0 + 3p + 24y + 16y2 = -1 + 7y + -20 + y2 3p + 24y + 16y2 = -1 + 7y + -20 + y2 Reorder the terms: 3p + 24y + 16y2 = -1 + -20 + 7y + y2 Combine like terms: -1 + -20 = -21 3p + 24y + 16y2 = -21 + 7y + y2 Add '-24y' to each side of the equation. 3p + 24y + -24y + 16y2 = -21 + 7y + -24y + y2 Combine like terms: 24y + -24y = 0 3p + 0 + 16y2 = -21 + 7y + -24y + y2 3p + 16y2 = -21 + 7y + -24y + y2 Combine like terms: 7y + -24y = -17y 3p + 16y2 = -21 + -17y + y2 Add '-16y2' to each side of the equation. 3p + 16y2 + -16y2 = -21 + -17y + y2 + -16y2 Combine like terms: 16y2 + -16y2 = 0 3p + 0 = -21 + -17y + y2 + -16y2 3p = -21 + -17y + y2 + -16y2 Combine like terms: y2 + -16y2 = -15y2 3p = -21 + -17y + -15y2 Divide each side by '3'. p = -7 + -5.666666667y + -5y2 Simplifying p = -7 + -5.666666667y + -5y2
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