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Simplifying 5(x + y) + -1(5x + -1y) = 0 (x * 5 + y * 5) + -1(5x + -1y) = 0 (5x + 5y) + -1(5x + -1y) = 0 5x + 5y + (5x * -1 + -1y * -1) = 0 5x + 5y + (-5x + 1y) = 0 Reorder the terms: 5x + -5x + 5y + 1y = 0 Combine like terms: 5x + -5x = 0 0 + 5y + 1y = 0 5y + 1y = 0 Combine like terms: 5y + 1y = 6y 6y = 0 Solving 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '6'. y = 0 Simplifying y = 0
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