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Simplifying 6(2Y + -1) + -2(3X) = 3 Reorder the terms: 6(-1 + 2Y) + -2(3X) = 3 (-1 * 6 + 2Y * 6) + -2(3X) = 3 (-6 + 12Y) + -2(3X) = 3 Remove parenthesis around (3X) -6 + 12Y + -2 * 3X = 3 Multiply -2 * 3 -6 + 12Y + -6X = 3 Reorder the terms: -6 + -6X + 12Y = 3 Solving -6 + -6X + 12Y = 3 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -6X + 6 + 12Y = 3 + 6 Reorder the terms: -6 + 6 + -6X + 12Y = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -6X + 12Y = 3 + 6 -6X + 12Y = 3 + 6 Combine like terms: 3 + 6 = 9 -6X + 12Y = 9 Add '-12Y' to each side of the equation. -6X + 12Y + -12Y = 9 + -12Y Combine like terms: 12Y + -12Y = 0 -6X + 0 = 9 + -12Y -6X = 9 + -12Y Divide each side by '-6'. X = -1.5 + 2Y Simplifying X = -1.5 + 2Y
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