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Simplifying 0 = (6x + -5Y) + (-3x + 7Y) Reorder the terms: 0 = (-5Y + 6x) + (-3x + 7Y) Remove parenthesis around (-5Y + 6x) 0 = -5Y + 6x + (-3x + 7Y) Reorder the terms: 0 = -5Y + 6x + (7Y + -3x) Remove parenthesis around (7Y + -3x) 0 = -5Y + 6x + 7Y + -3x Reorder the terms: 0 = -5Y + 7Y + 6x + -3x Combine like terms: -5Y + 7Y = 2Y 0 = 2Y + 6x + -3x Combine like terms: 6x + -3x = 3x 0 = 2Y + 3x Solving 0 = 2Y + 3x Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-2Y' to each side of the equation. 0 + -2Y = 2Y + -2Y + 3x Remove the zero: -2Y = 2Y + -2Y + 3x Combine like terms: 2Y + -2Y = 0 -2Y = 0 + 3x -2Y = 3x Divide each side by '-2'. Y = -1.5x Simplifying Y = -1.5x
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