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Simplifying 12x + -1y + -6(2x + -4y + 8z) = 0 12x + -1y + (2x * -6 + -4y * -6 + 8z * -6) = 0 12x + -1y + (-12x + 24y + -48z) = 0 Reorder the terms: 12x + -12x + -1y + 24y + -48z = 0 Combine like terms: 12x + -12x = 0 0 + -1y + 24y + -48z = 0 -1y + 24y + -48z = 0 Combine like terms: -1y + 24y = 23y 23y + -48z = 0 Solving 23y + -48z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '48z' to each side of the equation. 23y + -48z + 48z = 0 + 48z Combine like terms: -48z + 48z = 0 23y + 0 = 0 + 48z 23y = 0 + 48z Remove the zero: 23y = 48z Divide each side by '23'. y = 2.086956522z Simplifying y = 2.086956522z
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