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Simplifying 2y + -3(2x + y) + -4(3x + -2y) = 0 2y + (2x * -3 + y * -3) + -4(3x + -2y) = 0 2y + (-6x + -3y) + -4(3x + -2y) = 0 2y + -6x + -3y + (3x * -4 + -2y * -4) = 0 2y + -6x + -3y + (-12x + 8y) = 0 Reorder the terms: -6x + -12x + 2y + -3y + 8y = 0 Combine like terms: -6x + -12x = -18x -18x + 2y + -3y + 8y = 0 Combine like terms: 2y + -3y = -1y -18x + -1y + 8y = 0 Combine like terms: -1y + 8y = 7y -18x + 7y = 0 Solving -18x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -18x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 -18x + 0 = 0 + -7y -18x = 0 + -7y Remove the zero: -18x = -7y Divide each side by '-18'. x = 0.3888888889y Simplifying x = 0.3888888889y
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