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Simplifying 8z + -4x + 2y + -9z + 4x + -4y = 0 Reorder the terms: -4x + 4x + 2y + -4y + 8z + -9z = 0 Combine like terms: -4x + 4x = 0 0 + 2y + -4y + 8z + -9z = 0 2y + -4y + 8z + -9z = 0 Combine like terms: 2y + -4y = -2y -2y + 8z + -9z = 0 Combine like terms: 8z + -9z = -1z -2y + -1z = 0 Solving -2y + -1z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'z' to each side of the equation. -2y + -1z + z = 0 + z Combine like terms: -1z + z = 0 -2y + 0 = 0 + z -2y = 0 + z Remove the zero: -2y = z Divide each side by '-2'. y = -0.5z Simplifying y = -0.5z
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