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Simplifying 15y + -4z + 10y + 12z = 0 Reorder the terms: 15y + 10y + -4z + 12z = 0 Combine like terms: 15y + 10y = 25y 25y + -4z + 12z = 0 Combine like terms: -4z + 12z = 8z 25y + 8z = 0 Solving 25y + 8z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8z' to each side of the equation. 25y + 8z + -8z = 0 + -8z Combine like terms: 8z + -8z = 0 25y + 0 = 0 + -8z 25y = 0 + -8z Remove the zero: 25y = -8z Divide each side by '25'. y = -0.32z Simplifying y = -0.32z
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