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Simplifying 2y + -5(2z + -4y) + 3z = 0 Reorder the terms: 2y + -5(-4y + 2z) + 3z = 0 2y + (-4y * -5 + 2z * -5) + 3z = 0 2y + (20y + -10z) + 3z = 0 Combine like terms: 2y + 20y = 22y 22y + -10z + 3z = 0 Combine like terms: -10z + 3z = -7z 22y + -7z = 0 Solving 22y + -7z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7z' to each side of the equation. 22y + -7z + 7z = 0 + 7z Combine like terms: -7z + 7z = 0 22y + 0 = 0 + 7z 22y = 0 + 7z Remove the zero: 22y = 7z Divide each side by '22'. y = 0.3181818182z Simplifying y = 0.3181818182z
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