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Simplifying -3[2(x + 4y) + -1(x + -1y)] = 1 -3[(x * 2 + 4y * 2) + -1(x + -1y)] = 1 -3[(2x + 8y) + -1(x + -1y)] = 1 -3[2x + 8y + (x * -1 + -1y * -1)] = 1 -3[2x + 8y + (-1x + 1y)] = 1 Reorder the terms: -3[2x + -1x + 8y + 1y] = 1 Combine like terms: 2x + -1x = 1x -3[1x + 8y + 1y] = 1 Combine like terms: 8y + 1y = 9y -3[1x + 9y] = 1 [1x * -3 + 9y * -3] = 1 [-3x + -27y] = 1 Solving -3x + -27y = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27y' to each side of the equation. -3x + -27y + 27y = 1 + 27y Combine like terms: -27y + 27y = 0 -3x + 0 = 1 + 27y -3x = 1 + 27y Divide each side by '-3'. x = -0.3333333333 + -9y Simplifying x = -0.3333333333 + -9y
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