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Simplifying -3[2 + -1(y + -5)] + -4[3(y + 1) + -1(6 + -1y)(-2)] = 0 Reorder the terms: -3[2 + -1(-5 + y)] + -4[3(y + 1) + -1(6 + -1y)(-2)] = 0 -3[2 + (-5 * -1 + y * -1)] + -4[3(y + 1) + -1(6 + -1y)(-2)] = 0 -3[2 + (5 + -1y)] + -4[3(y + 1) + -1(6 + -1y)(-2)] = 0 Combine like terms: 2 + 5 = 7 -3[7 + -1y] + -4[3(y + 1) + -1(6 + -1y)(-2)] = 0 [7 * -3 + -1y * -3] + -4[3(y + 1) + -1(6 + -1y)(-2)] = 0 [-21 + 3y] + -4[3(y + 1) + -1(6 + -1y)(-2)] = 0 Reorder the terms: -21 + 3y + -4[3(1 + y) + -1(6 + -1y)(-2)] = 0 -21 + 3y + -4[(1 * 3 + y * 3) + -1(6 + -1y)(-2)] = 0 -21 + 3y + -4[(3 + 3y) + -1(6 + -1y)(-2)] = 0 Reorder the terms for easier multiplication: -21 + 3y + -4[3 + 3y + -1 * -2(6 + -1y)] = 0 Multiply -1 * -2 -21 + 3y + -4[3 + 3y + 2(6 + -1y)] = 0 -21 + 3y + -4[3 + 3y + (6 * 2 + -1y * 2)] = 0 -21 + 3y + -4[3 + 3y + (12 + -2y)] = 0 Reorder the terms: -21 + 3y + -4[3 + 12 + 3y + -2y] = 0 Combine like terms: 3 + 12 = 15 -21 + 3y + -4[15 + 3y + -2y] = 0 Combine like terms: 3y + -2y = 1y -21 + 3y + -4[15 + 1y] = 0 -21 + 3y + [15 * -4 + 1y * -4] = 0 -21 + 3y + [-60 + -4y] = 0 Reorder the terms: -21 + -60 + 3y + -4y = 0 Combine like terms: -21 + -60 = -81 -81 + 3y + -4y = 0 Combine like terms: 3y + -4y = -1y -81 + -1y = 0 Solving -81 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + -1y = 0 + 81 Combine like terms: -81 + 81 = 0 0 + -1y = 0 + 81 -1y = 0 + 81 Combine like terms: 0 + 81 = 81 -1y = 81 Divide each side by '-1'. y = -81 Simplifying y = -81
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