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Simplifying -7y + -4(-3z + 7y) + -6z = 0 Reorder the terms: -7y + -4(7y + -3z) + -6z = 0 -7y + (7y * -4 + -3z * -4) + -6z = 0 -7y + (-28y + 12z) + -6z = 0 Combine like terms: -7y + -28y = -35y -35y + 12z + -6z = 0 Combine like terms: 12z + -6z = 6z -35y + 6z = 0 Solving -35y + 6z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6z' to each side of the equation. -35y + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 -35y + 0 = 0 + -6z -35y = 0 + -6z Remove the zero: -35y = -6z Divide each side by '-35'. y = 0.1714285714z Simplifying y = 0.1714285714z
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