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Simplifying -5y + -1(-4z + 7y) + 2z = 0 Reorder the terms: -5y + -1(7y + -4z) + 2z = 0 -5y + (7y * -1 + -4z * -1) + 2z = 0 -5y + (-7y + 4z) + 2z = 0 Combine like terms: -5y + -7y = -12y -12y + 4z + 2z = 0 Combine like terms: 4z + 2z = 6z -12y + 6z = 0 Solving -12y + 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. -12y + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 -12y + 0 = 0 + -6z -12y = 0 + -6z Remove the zero: -12y = -6z Divide each side by '-12'. y = 0.5z Simplifying y = 0.5z
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