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Simplifying -1(6 + y + -1z) = 0 (6 * -1 + y * -1 + -1z * -1) = 0 (-6 + -1y + 1z) = 0 Solving -6 + -1y + 1z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1y + 6 + 1z = 0 + 6 Reorder the terms: -6 + 6 + -1y + 1z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y + 1z = 0 + 6 -1y + 1z = 0 + 6 Combine like terms: 0 + 6 = 6 -1y + 1z = 6 Add '-1z' to each side of the equation. -1y + 1z + -1z = 6 + -1z Combine like terms: 1z + -1z = 0 -1y + 0 = 6 + -1z -1y = 6 + -1z Divide each side by '-1'. y = -6 + z Simplifying y = -6 + z
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