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Simplifying 4y + -4(-2z + 6y) + 2z = 0 Reorder the terms: 4y + -4(6y + -2z) + 2z = 0 4y + (6y * -4 + -2z * -4) + 2z = 0 4y + (-24y + 8z) + 2z = 0 Combine like terms: 4y + -24y = -20y -20y + 8z + 2z = 0 Combine like terms: 8z + 2z = 10z -20y + 10z = 0 Solving -20y + 10z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10z' to each side of the equation. -20y + 10z + -10z = 0 + -10z Combine like terms: 10z + -10z = 0 -20y + 0 = 0 + -10z -20y = 0 + -10z Remove the zero: -20y = -10z Divide each side by '-20'. y = 0.5z Simplifying y = 0.5z
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