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Simplifying 6y + -3z + -8y + 4z = 0 Reorder the terms: 6y + -8y + -3z + 4z = 0 Combine like terms: 6y + -8y = -2y -2y + -3z + 4z = 0 Combine like terms: -3z + 4z = 1z -2y + 1z = 0 Solving -2y + 1z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. -2y + 1z + -1z = 0 + -1z Combine like terms: 1z + -1z = 0 -2y + 0 = 0 + -1z -2y = 0 + -1z Remove the zero: -2y = -1z Divide each side by '-2'. y = 0.5z Simplifying y = 0.5z
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