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Simplifying 46 + -1[8 + -8y + 9(6y + -2)] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] Reorder the terms: 46 + -1[8 + -8y + 9(-2 + 6y)] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] 46 + -1[8 + -8y + (-2 * 9 + 6y * 9)] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] 46 + -1[8 + -8y + (-18 + 54y)] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] Reorder the terms: 46 + -1[8 + -18 + -8y + 54y] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] Combine like terms: 8 + -18 = -10 46 + -1[-10 + -8y + 54y] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] Combine like terms: -8y + 54y = 46y 46 + -1[-10 + 46y] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] 46 + [-10 * -1 + 46y * -1] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] 46 + [10 + -46y] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] Combine like terms: 46 + 10 = 56 56 + -46y = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] Reorder the terms: 56 + -46y = -7(-7 + 4y) + -2[6(2y + -3) + -4 + 6y] 56 + -46y = (-7 * -7 + 4y * -7) + -2[6(2y + -3) + -4 + 6y] 56 + -46y = (49 + -28y) + -2[6(2y + -3) + -4 + 6y] Reorder the terms: 56 + -46y = 49 + -28y + -2[6(-3 + 2y) + -4 + 6y] 56 + -46y = 49 + -28y + -2[(-3 * 6 + 2y * 6) + -4 + 6y] 56 + -46y = 49 + -28y + -2[(-18 + 12y) + -4 + 6y] Reorder the terms: 56 + -46y = 49 + -28y + -2[-18 + -4 + 12y + 6y] Combine like terms: -18 + -4 = -22 56 + -46y = 49 + -28y + -2[-22 + 12y + 6y] Combine like terms: 12y + 6y = 18y 56 + -46y = 49 + -28y + -2[-22 + 18y] 56 + -46y = 49 + -28y + [-22 * -2 + 18y * -2] 56 + -46y = 49 + -28y + [44 + -36y] Reorder the terms: 56 + -46y = 49 + 44 + -28y + -36y Combine like terms: 49 + 44 = 93 56 + -46y = 93 + -28y + -36y Combine like terms: -28y + -36y = -64y 56 + -46y = 93 + -64y Solving 56 + -46y = 93 + -64y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '64y' to each side of the equation. 56 + -46y + 64y = 93 + -64y + 64y Combine like terms: -46y + 64y = 18y 56 + 18y = 93 + -64y + 64y Combine like terms: -64y + 64y = 0 56 + 18y = 93 + 0 56 + 18y = 93 Add '-56' to each side of the equation. 56 + -56 + 18y = 93 + -56 Combine like terms: 56 + -56 = 0 0 + 18y = 93 + -56 18y = 93 + -56 Combine like terms: 93 + -56 = 37 18y = 37 Divide each side by '18'. y = 2.055555556 Simplifying y = 2.055555556
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