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Simplifying -6(x + -3) + 5(4x + -2) + -3(-4x + 1) = y Reorder the terms: -6(-3 + x) + 5(4x + -2) + -3(-4x + 1) = y (-3 * -6 + x * -6) + 5(4x + -2) + -3(-4x + 1) = y (18 + -6x) + 5(4x + -2) + -3(-4x + 1) = y Reorder the terms: 18 + -6x + 5(-2 + 4x) + -3(-4x + 1) = y 18 + -6x + (-2 * 5 + 4x * 5) + -3(-4x + 1) = y 18 + -6x + (-10 + 20x) + -3(-4x + 1) = y Reorder the terms: 18 + -6x + -10 + 20x + -3(1 + -4x) = y 18 + -6x + -10 + 20x + (1 * -3 + -4x * -3) = y 18 + -6x + -10 + 20x + (-3 + 12x) = y Reorder the terms: 18 + -10 + -3 + -6x + 20x + 12x = y Combine like terms: 18 + -10 = 8 8 + -3 + -6x + 20x + 12x = y Combine like terms: 8 + -3 = 5 5 + -6x + 20x + 12x = y Combine like terms: -6x + 20x = 14x 5 + 14x + 12x = y Combine like terms: 14x + 12x = 26x 5 + 26x = y Solving 5 + 26x = y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 26x = -5 + y Combine like terms: 5 + -5 = 0 0 + 26x = -5 + y 26x = -5 + y Divide each side by '26'. x = -0.1923076923 + 0.03846153846y Simplifying x = -0.1923076923 + 0.03846153846y
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