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Simplifying -3y2 + -7y + -9 + n + -4y2 + 6y + 9 = 10 + -1.4n Reorder the terms: -9 + 9 + n + -7y + 6y + -3y2 + -4y2 = 10 + -1.4n Combine like terms: -9 + 9 = 0 0 + n + -7y + 6y + -3y2 + -4y2 = 10 + -1.4n n + -7y + 6y + -3y2 + -4y2 = 10 + -1.4n Combine like terms: -7y + 6y = -1y n + -1y + -3y2 + -4y2 = 10 + -1.4n Combine like terms: -3y2 + -4y2 = -7y2 n + -1y + -7y2 = 10 + -1.4n Solving n + -1y + -7y2 = 10 + -1.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.4n' to each side of the equation. n + -1y + 1.4n + -7y2 = 10 + -1.4n + 1.4n Reorder the terms: n + 1.4n + -1y + -7y2 = 10 + -1.4n + 1.4n Combine like terms: n + 1.4n = 2.4n 2.4n + -1y + -7y2 = 10 + -1.4n + 1.4n Combine like terms: -1.4n + 1.4n = 0.0 2.4n + -1y + -7y2 = 10 + 0.0 2.4n + -1y + -7y2 = 10 Add 'y' to each side of the equation. 2.4n + -1y + y + -7y2 = 10 + y Combine like terms: -1y + y = 0 2.4n + 0 + -7y2 = 10 + y 2.4n + -7y2 = 10 + y Add '7y2' to each side of the equation. 2.4n + -7y2 + 7y2 = 10 + y + 7y2 Combine like terms: -7y2 + 7y2 = 0 2.4n + 0 = 10 + y + 7y2 2.4n = 10 + y + 7y2 Divide each side by '2.4'. n = 4.166666667 + 0.4166666667y + 2.916666667y2 Simplifying n = 4.166666667 + 0.4166666667y + 2.916666667y2
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