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Simplifying 3(2x + -5y) + -2(x + 3Y) = 0 (2x * 3 + -5y * 3) + -2(x + 3Y) = 0 (6x + -15y) + -2(x + 3Y) = 0 Reorder the terms: 6x + -15y + -2(3Y + x) = 0 6x + -15y + (3Y * -2 + x * -2) = 0 6x + -15y + (-6Y + -2x) = 0 Reorder the terms: -6Y + 6x + -2x + -15y = 0 Combine like terms: 6x + -2x = 4x -6Y + 4x + -15y = 0 Solving -6Y + 4x + -15y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4x' to each side of the equation. -6Y + 4x + -4x + -15y = 0 + -4x Combine like terms: 4x + -4x = 0 -6Y + 0 + -15y = 0 + -4x -6Y + -15y = 0 + -4x Remove the zero: -6Y + -15y = -4x Add '15y' to each side of the equation. -6Y + -15y + 15y = -4x + 15y Combine like terms: -15y + 15y = 0 -6Y + 0 = -4x + 15y -6Y = -4x + 15y Divide each side by '-6'. Y = 0.6666666667x + -2.5y Simplifying Y = 0.6666666667x + -2.5y
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