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Simplifying 3(x + 2y) + -3(x + -1y) = 0 (x * 3 + 2y * 3) + -3(x + -1y) = 0 (3x + 6y) + -3(x + -1y) = 0 3x + 6y + (x * -3 + -1y * -3) = 0 3x + 6y + (-3x + 3y) = 0 Reorder the terms: 3x + -3x + 6y + 3y = 0 Combine like terms: 3x + -3x = 0 0 + 6y + 3y = 0 6y + 3y = 0 Combine like terms: 6y + 3y = 9y 9y = 0 Solving 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '9'. y = 0 Simplifying y = 0
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