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Simplifying 5(-4y + 2z) + -2(-1z + -6y) = 0 (-4y * 5 + 2z * 5) + -2(-1z + -6y) = 0 (-20y + 10z) + -2(-1z + -6y) = 0 Reorder the terms: -20y + 10z + -2(-6y + -1z) = 0 -20y + 10z + (-6y * -2 + -1z * -2) = 0 -20y + 10z + (12y + 2z) = 0 Reorder the terms: -20y + 12y + 10z + 2z = 0 Combine like terms: -20y + 12y = -8y -8y + 10z + 2z = 0 Combine like terms: 10z + 2z = 12z -8y + 12z = 0 Solving -8y + 12z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12z' to each side of the equation. -8y + 12z + -12z = 0 + -12z Combine like terms: 12z + -12z = 0 -8y + 0 = 0 + -12z -8y = 0 + -12z Remove the zero: -8y = -12z Divide each side by '-8'. y = 1.5z Simplifying y = 1.5z
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