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Simplifying 2(3x + 2y) + 3(-2x + 3y) = 0 (3x * 2 + 2y * 2) + 3(-2x + 3y) = 0 (6x + 4y) + 3(-2x + 3y) = 0 6x + 4y + (-2x * 3 + 3y * 3) = 0 6x + 4y + (-6x + 9y) = 0 Reorder the terms: 6x + -6x + 4y + 9y = 0 Combine like terms: 6x + -6x = 0 0 + 4y + 9y = 0 4y + 9y = 0 Combine like terms: 4y + 9y = 13y 13y = 0 Solving 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '13'. y = 0 Simplifying y = 0
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