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Simplifying (3y + -2z) + (6y + 5z) = 0 Remove parenthesis around (3y + -2z) 3y + -2z + (6y + 5z) = 0 Remove parenthesis around (6y + 5z) 3y + -2z + 6y + 5z = 0 Reorder the terms: 3y + 6y + -2z + 5z = 0 Combine like terms: 3y + 6y = 9y 9y + -2z + 5z = 0 Combine like terms: -2z + 5z = 3z 9y + 3z = 0 Solving 9y + 3z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3z' to each side of the equation. 9y + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 9y + 0 = 0 + -3z 9y = 0 + -3z Remove the zero: 9y = -3z Divide each side by '9'. y = -0.3333333333z Simplifying y = -0.3333333333z
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