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Simplifying (y + z)(y + -1z)(y + z)(y + z) = 0 Multiply (y + z) * (y + -1z) (y(y + -1z) + z(y + -1z))(y + z)(y + z) = 0 ((y * y + -1z * y) + z(y + -1z))(y + z)(y + z) = 0 Reorder the terms: ((-1yz + y2) + z(y + -1z))(y + z)(y + z) = 0 ((-1yz + y2) + z(y + -1z))(y + z)(y + z) = 0 (-1yz + y2 + (y * z + -1z * z))(y + z)(y + z) = 0 (-1yz + y2 + (yz + -1z2))(y + z)(y + z) = 0 Reorder the terms: (-1yz + yz + y2 + -1z2)(y + z)(y + z) = 0 Combine like terms: -1yz + yz = 0 (0 + y2 + -1z2)(y + z)(y + z) = 0 (y2 + -1z2)(y + z)(y + z) = 0 Multiply (y2 + -1z2) * (y + z) (y2(y + z) + -1z2 * (y + z))(y + z) = 0 ((y * y2 + z * y2) + -1z2 * (y + z))(y + z) = 0 Reorder the terms: ((y2z + y3) + -1z2 * (y + z))(y + z) = 0 ((y2z + y3) + -1z2 * (y + z))(y + z) = 0 (y2z + y3 + (y * -1z2 + z * -1z2))(y + z) = 0 (y2z + y3 + (-1yz2 + -1z3))(y + z) = 0 Reorder the terms: (-1yz2 + y2z + y3 + -1z3)(y + z) = 0 (-1yz2 + y2z + y3 + -1z3)(y + z) = 0 Multiply (-1yz2 + y2z + y3 + -1z3) * (y + z) (-1yz2 * (y + z) + y2z(y + z) + y3(y + z) + -1z3 * (y + z)) = 0 ((y * -1yz2 + z * -1yz2) + y2z(y + z) + y3(y + z) + -1z3 * (y + z)) = 0 Reorder the terms: ((-1yz3 + -1y2z2) + y2z(y + z) + y3(y + z) + -1z3 * (y + z)) = 0 ((-1yz3 + -1y2z2) + y2z(y + z) + y3(y + z) + -1z3 * (y + z)) = 0 (-1yz3 + -1y2z2 + (y * y2z + z * y2z) + y3(y + z) + -1z3 * (y + z)) = 0 Reorder the terms: (-1yz3 + -1y2z2 + (y2z2 + y3z) + y3(y + z) + -1z3 * (y + z)) = 0 (-1yz3 + -1y2z2 + (y2z2 + y3z) + y3(y + z) + -1z3 * (y + z)) = 0 (-1yz3 + -1y2z2 + y2z2 + y3z + (y * y3 + z * y3) + -1z3 * (y + z)) = 0 Reorder the terms: (-1yz3 + -1y2z2 + y2z2 + y3z + (y3z + y4) + -1z3 * (y + z)) = 0 (-1yz3 + -1y2z2 + y2z2 + y3z + (y3z + y4) + -1z3 * (y + z)) = 0 (-1yz3 + -1y2z2 + y2z2 + y3z + y3z + y4 + (y * -1z3 + z * -1z3)) = 0 (-1yz3 + -1y2z2 + y2z2 + y3z + y3z + y4 + (-1yz3 + -1z4)) = 0 Reorder the terms: (-1yz3 + -1yz3 + -1y2z2 + y2z2 + y3z + y3z + y4 + -1z4) = 0 Combine like terms: -1yz3 + -1yz3 = -2yz3 (-2yz3 + -1y2z2 + y2z2 + y3z + y3z + y4 + -1z4) = 0 Combine like terms: -1y2z2 + y2z2 = 0 (-2yz3 + 0 + y3z + y3z + y4 + -1z4) = 0 (-2yz3 + y3z + y3z + y4 + -1z4) = 0 Combine like terms: y3z + y3z = 2y3z (-2yz3 + 2y3z + y4 + -1z4) = 0 Solving -2yz3 + 2y3z + y4 + -1z4 = 0 Solving for variable 'y'. The solution to this equation could not be determined.
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