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Simplifying 2y + (5x + -3x) + y = 0 Combine like terms: 5x + -3x = 2x 2y + (2x) + y = 0 2y + (2x) + y = 0 Reorder the terms: (2x) + 2y + y = 0 Combine like terms: 2y + y = 3y (2x) + 3y = 0 Solving (2x) + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. (2x) + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 (2x) + 0 = 0 + -3y (2x) = 0 + -3y Remove the zero: (2x) = -3y Divide each side by '2'. x = -1.5y Simplifying x = -1.5y
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