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Simplifying (2z + 9)(z + y + -9) = 0 Reorder the terms: (9 + 2z)(z + y + -9) = 0 Reorder the terms: (9 + 2z)(-9 + y + z) = 0 Multiply (9 + 2z) * (-9 + y + z) (9(-9 + y + z) + 2z * (-9 + y + z)) = 0 ((-9 * 9 + y * 9 + z * 9) + 2z * (-9 + y + z)) = 0 ((-81 + 9y + 9z) + 2z * (-9 + y + z)) = 0 (-81 + 9y + 9z + (-9 * 2z + y * 2z + z * 2z)) = 0 Reorder the terms: (-81 + 9y + 9z + (2yz + -18z + 2z2)) = 0 (-81 + 9y + 9z + (2yz + -18z + 2z2)) = 0 Reorder the terms: (-81 + 9y + 2yz + 9z + -18z + 2z2) = 0 Combine like terms: 9z + -18z = -9z (-81 + 9y + 2yz + -9z + 2z2) = 0 Solving -81 + 9y + 2yz + -9z + 2z2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 9y + 2yz + -9z + 81 + 2z2 = 0 + 81 Reorder the terms: -81 + 81 + 9y + 2yz + -9z + 2z2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 9y + 2yz + -9z + 2z2 = 0 + 81 9y + 2yz + -9z + 2z2 = 0 + 81 Combine like terms: 0 + 81 = 81 9y + 2yz + -9z + 2z2 = 81 Add '9z' to each side of the equation. 9y + 2yz + -9z + 9z + 2z2 = 81 + 9z Combine like terms: -9z + 9z = 0 9y + 2yz + 0 + 2z2 = 81 + 9z 9y + 2yz + 2z2 = 81 + 9z Add '-2z2' to each side of the equation. 9y + 2yz + 2z2 + -2z2 = 81 + 9z + -2z2 Combine like terms: 2z2 + -2z2 = 0 9y + 2yz + 0 = 81 + 9z + -2z2 9y + 2yz = 81 + 9z + -2z2 Reorder the terms: -81 + 9y + 2yz + -9z + 2z2 = 81 + 9z + -2z2 + -81 + -9z + 2z2 Reorder the terms: -81 + 9y + 2yz + -9z + 2z2 = 81 + -81 + 9z + -9z + -2z2 + 2z2 Combine like terms: 81 + -81 = 0 -81 + 9y + 2yz + -9z + 2z2 = 0 + 9z + -9z + -2z2 + 2z2 -81 + 9y + 2yz + -9z + 2z2 = 9z + -9z + -2z2 + 2z2 Combine like terms: 9z + -9z = 0 -81 + 9y + 2yz + -9z + 2z2 = 0 + -2z2 + 2z2 -81 + 9y + 2yz + -9z + 2z2 = -2z2 + 2z2 Combine like terms: -2z2 + 2z2 = 0 -81 + 9y + 2yz + -9z + 2z2 = 0 The solution to this equation could not be determined.
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