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Simplifying 5(3y + 2z) = 0 (3y * 5 + 2z * 5) = 0 (15y + 10z) = 0 Solving 15y + 10z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10z' to each side of the equation. 15y + 10z + -10z = 0 + -10z Combine like terms: 10z + -10z = 0 15y + 0 = 0 + -10z 15y = 0 + -10z Remove the zero: 15y = -10z Divide each side by '15'. y = -0.6666666667z Simplifying y = -0.6666666667z
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