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