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Simplifying 5(y + 3z) = 0 (y * 5 + 3z * 5) = 0 (5y + 15z) = 0 Solving 5y + 15z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15z' to each side of the equation. 5y + 15z + -15z = 0 + -15z Combine like terms: 15z + -15z = 0 5y + 0 = 0 + -15z 5y = 0 + -15z Remove the zero: 5y = -15z Divide each side by '5'. y = -3z Simplifying y = -3z
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