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Simplifying 3x + 4y + -7z + 7y + -3x + 18z = 0 Reorder the terms: 3x + -3x + 4y + 7y + -7z + 18z = 0 Combine like terms: 3x + -3x = 0 0 + 4y + 7y + -7z + 18z = 0 4y + 7y + -7z + 18z = 0 Combine like terms: 4y + 7y = 11y 11y + -7z + 18z = 0 Combine like terms: -7z + 18z = 11z 11y + 11z = 0 Solving 11y + 11z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11z' to each side of the equation. 11y + 11z + -11z = 0 + -11z Combine like terms: 11z + -11z = 0 11y + 0 = 0 + -11z 11y = 0 + -11z Remove the zero: 11y = -11z Divide each side by '11'. y = -1z Simplifying y = -1z
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