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Simplifying 56 + -1[4 + 5y + -2(y + 2)] = -4(3y + -5) + -1[9(y + -1) + -12y + 15] Reorder the terms: 56 + -1[4 + 5y + -2(2 + y)] = -4(3y + -5) + -1[9(y + -1) + -12y + 15] 56 + -1[4 + 5y + (2 * -2 + y * -2)] = -4(3y + -5) + -1[9(y + -1) + -12y + 15] 56 + -1[4 + 5y + (-4 + -2y)] = -4(3y + -5) + -1[9(y + -1) + -12y + 15] Reorder the terms: 56 + -1[4 + -4 + 5y + -2y] = -4(3y + -5) + -1[9(y + -1) + -12y + 15] Combine like terms: 4 + -4 = 0 56 + -1[0 + 5y + -2y] = -4(3y + -5) + -1[9(y + -1) + -12y + 15] 56 + -1[5y + -2y] = -4(3y + -5) + -1[9(y + -1) + -12y + 15] Combine like terms: 5y + -2y = 3y 56 + -1[3y] = -4(3y + -5) + -1[9(y + -1) + -12y + 15] Remove brackets around [3y] 56 + -1 * 3y = -4(3y + -5) + -1[9(y + -1) + -12y + 15] Multiply -1 * 3 56 + -3y = -4(3y + -5) + -1[9(y + -1) + -12y + 15] Reorder the terms: 56 + -3y = -4(-5 + 3y) + -1[9(y + -1) + -12y + 15] 56 + -3y = (-5 * -4 + 3y * -4) + -1[9(y + -1) + -12y + 15] 56 + -3y = (20 + -12y) + -1[9(y + -1) + -12y + 15] Reorder the terms: 56 + -3y = 20 + -12y + -1[9(-1 + y) + -12y + 15] 56 + -3y = 20 + -12y + -1[(-1 * 9 + y * 9) + -12y + 15] 56 + -3y = 20 + -12y + -1[(-9 + 9y) + -12y + 15] Reorder the terms: 56 + -3y = 20 + -12y + -1[-9 + 15 + 9y + -12y] Combine like terms: -9 + 15 = 6 56 + -3y = 20 + -12y + -1[6 + 9y + -12y] Combine like terms: 9y + -12y = -3y 56 + -3y = 20 + -12y + -1[6 + -3y] 56 + -3y = 20 + -12y + [6 * -1 + -3y * -1] 56 + -3y = 20 + -12y + [-6 + 3y] Reorder the terms: 56 + -3y = 20 + -6 + -12y + 3y Combine like terms: 20 + -6 = 14 56 + -3y = 14 + -12y + 3y Combine like terms: -12y + 3y = -9y 56 + -3y = 14 + -9y Solving 56 + -3y = 14 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 56 + -3y + 9y = 14 + -9y + 9y Combine like terms: -3y + 9y = 6y 56 + 6y = 14 + -9y + 9y Combine like terms: -9y + 9y = 0 56 + 6y = 14 + 0 56 + 6y = 14 Add '-56' to each side of the equation. 56 + -56 + 6y = 14 + -56 Combine like terms: 56 + -56 = 0 0 + 6y = 14 + -56 6y = 14 + -56 Combine like terms: 14 + -56 = -42 6y = -42 Divide each side by '6'. y = -7 Simplifying y = -7
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