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Simplifying 2x + 3y + -3x + 2Y = 0 Reorder the terms: 2Y + 2x + -3x + 3y = 0 Combine like terms: 2x + -3x = -1x 2Y + -1x + 3y = 0 Solving 2Y + -1x + 3y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add 'x' to each side of the equation. 2Y + -1x + x + 3y = 0 + x Combine like terms: -1x + x = 0 2Y + 0 + 3y = 0 + x 2Y + 3y = 0 + x Remove the zero: 2Y + 3y = x Add '-3y' to each side of the equation. 2Y + 3y + -3y = x + -3y Combine like terms: 3y + -3y = 0 2Y + 0 = x + -3y 2Y = x + -3y Divide each side by '2'. Y = 0.5x + -1.5y Simplifying Y = 0.5x + -1.5y
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