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Simplifying (-2y2 + -5y + 1) + (2y2 + -5y + 1)(-3y2 + 4y + 8) = 0 Reorder the terms: (1 + -5y + -2y2) + (2y2 + -5y + 1)(-3y2 + 4y + 8) = 0 Remove parenthesis around (1 + -5y + -2y2) 1 + -5y + -2y2 + (2y2 + -5y + 1)(-3y2 + 4y + 8) = 0 Reorder the terms: 1 + -5y + -2y2 + (1 + -5y + 2y2)(-3y2 + 4y + 8) = 0 Reorder the terms: 1 + -5y + -2y2 + (1 + -5y + 2y2)(8 + 4y + -3y2) = 0 Multiply (1 + -5y + 2y2) * (8 + 4y + -3y2) 1 + -5y + -2y2 + (1(8 + 4y + -3y2) + -5y * (8 + 4y + -3y2) + 2y2 * (8 + 4y + -3y2)) = 0 1 + -5y + -2y2 + ((8 * 1 + 4y * 1 + -3y2 * 1) + -5y * (8 + 4y + -3y2) + 2y2 * (8 + 4y + -3y2)) = 0 1 + -5y + -2y2 + ((8 + 4y + -3y2) + -5y * (8 + 4y + -3y2) + 2y2 * (8 + 4y + -3y2)) = 0 1 + -5y + -2y2 + (8 + 4y + -3y2 + (8 * -5y + 4y * -5y + -3y2 * -5y) + 2y2 * (8 + 4y + -3y2)) = 0 1 + -5y + -2y2 + (8 + 4y + -3y2 + (-40y + -20y2 + 15y3) + 2y2 * (8 + 4y + -3y2)) = 0 1 + -5y + -2y2 + (8 + 4y + -3y2 + -40y + -20y2 + 15y3 + (8 * 2y2 + 4y * 2y2 + -3y2 * 2y2)) = 0 1 + -5y + -2y2 + (8 + 4y + -3y2 + -40y + -20y2 + 15y3 + (16y2 + 8y3 + -6y4)) = 0 Reorder the terms: 1 + -5y + -2y2 + (8 + 4y + -40y + -3y2 + -20y2 + 16y2 + 15y3 + 8y3 + -6y4) = 0 Combine like terms: 4y + -40y = -36y 1 + -5y + -2y2 + (8 + -36y + -3y2 + -20y2 + 16y2 + 15y3 + 8y3 + -6y4) = 0 Combine like terms: -3y2 + -20y2 = -23y2 1 + -5y + -2y2 + (8 + -36y + -23y2 + 16y2 + 15y3 + 8y3 + -6y4) = 0 Combine like terms: -23y2 + 16y2 = -7y2 1 + -5y + -2y2 + (8 + -36y + -7y2 + 15y3 + 8y3 + -6y4) = 0 Combine like terms: 15y3 + 8y3 = 23y3 1 + -5y + -2y2 + (8 + -36y + -7y2 + 23y3 + -6y4) = 0 Reorder the terms: 1 + 8 + -5y + -36y + -2y2 + -7y2 + 23y3 + -6y4 = 0 Combine like terms: 1 + 8 = 9 9 + -5y + -36y + -2y2 + -7y2 + 23y3 + -6y4 = 0 Combine like terms: -5y + -36y = -41y 9 + -41y + -2y2 + -7y2 + 23y3 + -6y4 = 0 Combine like terms: -2y2 + -7y2 = -9y2 9 + -41y + -9y2 + 23y3 + -6y4 = 0 Solving 9 + -41y + -9y2 + 23y3 + -6y4 = 0 Solving for variable 'y'. The solution to this equation could not be determined.
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