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Simplifying 4y + -3z + -6y + 8z = 0 Reorder the terms: 4y + -6y + -3z + 8z = 0 Combine like terms: 4y + -6y = -2y -2y + -3z + 8z = 0 Combine like terms: -3z + 8z = 5z -2y + 5z = 0 Solving -2y + 5z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5z' to each side of the equation. -2y + 5z + -5z = 0 + -5z Combine like terms: 5z + -5z = 0 -2y + 0 = 0 + -5z -2y = 0 + -5z Remove the zero: -2y = -5z Divide each side by '-2'. y = 2.5z Simplifying y = 2.5z
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