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Simplifying 6(x + -1y) + -3(2x + y) = 0 (x * 6 + -1y * 6) + -3(2x + y) = 0 (6x + -6y) + -3(2x + y) = 0 6x + -6y + (2x * -3 + y * -3) = 0 6x + -6y + (-6x + -3y) = 0 Reorder the terms: 6x + -6x + -6y + -3y = 0 Combine like terms: 6x + -6x = 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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