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Simplifying 3(-1y + -2z) + -6(-7z + -6y) = 0 (-1y * 3 + -2z * 3) + -6(-7z + -6y) = 0 (-3y + -6z) + -6(-7z + -6y) = 0 Reorder the terms: -3y + -6z + -6(-6y + -7z) = 0 -3y + -6z + (-6y * -6 + -7z * -6) = 0 -3y + -6z + (36y + 42z) = 0 Reorder the terms: -3y + 36y + -6z + 42z = 0 Combine like terms: -3y + 36y = 33y 33y + -6z + 42z = 0 Combine like terms: -6z + 42z = 36z 33y + 36z = 0 Solving 33y + 36z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36z' to each side of the equation. 33y + 36z + -36z = 0 + -36z Combine like terms: 36z + -36z = 0 33y + 0 = 0 + -36z 33y = 0 + -36z Remove the zero: 33y = -36z Divide each side by '33'. y = -1.090909091z Simplifying y = -1.090909091z
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