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Simplifying 56x + -1y + -7(8x + -5y + 8z) = 0 56x + -1y + (8x * -7 + -5y * -7 + 8z * -7) = 0 56x + -1y + (-56x + 35y + -56z) = 0 Reorder the terms: 56x + -56x + -1y + 35y + -56z = 0 Combine like terms: 56x + -56x = 0 0 + -1y + 35y + -56z = 0 -1y + 35y + -56z = 0 Combine like terms: -1y + 35y = 34y 34y + -56z = 0 Solving 34y + -56z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '56z' to each side of the equation. 34y + -56z + 56z = 0 + 56z Combine like terms: -56z + 56z = 0 34y + 0 = 0 + 56z 34y = 0 + 56z Remove the zero: 34y = 56z Divide each side by '34'. y = 1.647058824z Simplifying y = 1.647058824z
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