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Simplifying 5 + -1[3 + 6y + -4(y + 5)] = -4(4y + -7) + -1[9(y + -1) + -18y + 25] Reorder the terms: 5 + -1[3 + 6y + -4(5 + y)] = -4(4y + -7) + -1[9(y + -1) + -18y + 25] 5 + -1[3 + 6y + (5 * -4 + y * -4)] = -4(4y + -7) + -1[9(y + -1) + -18y + 25] 5 + -1[3 + 6y + (-20 + -4y)] = -4(4y + -7) + -1[9(y + -1) + -18y + 25] Reorder the terms: 5 + -1[3 + -20 + 6y + -4y] = -4(4y + -7) + -1[9(y + -1) + -18y + 25] Combine like terms: 3 + -20 = -17 5 + -1[-17 + 6y + -4y] = -4(4y + -7) + -1[9(y + -1) + -18y + 25] Combine like terms: 6y + -4y = 2y 5 + -1[-17 + 2y] = -4(4y + -7) + -1[9(y + -1) + -18y + 25] 5 + [-17 * -1 + 2y * -1] = -4(4y + -7) + -1[9(y + -1) + -18y + 25] 5 + [17 + -2y] = -4(4y + -7) + -1[9(y + -1) + -18y + 25] Combine like terms: 5 + 17 = 22 22 + -2y = -4(4y + -7) + -1[9(y + -1) + -18y + 25] Reorder the terms: 22 + -2y = -4(-7 + 4y) + -1[9(y + -1) + -18y + 25] 22 + -2y = (-7 * -4 + 4y * -4) + -1[9(y + -1) + -18y + 25] 22 + -2y = (28 + -16y) + -1[9(y + -1) + -18y + 25] Reorder the terms: 22 + -2y = 28 + -16y + -1[9(-1 + y) + -18y + 25] 22 + -2y = 28 + -16y + -1[(-1 * 9 + y * 9) + -18y + 25] 22 + -2y = 28 + -16y + -1[(-9 + 9y) + -18y + 25] Reorder the terms: 22 + -2y = 28 + -16y + -1[-9 + 25 + 9y + -18y] Combine like terms: -9 + 25 = 16 22 + -2y = 28 + -16y + -1[16 + 9y + -18y] Combine like terms: 9y + -18y = -9y 22 + -2y = 28 + -16y + -1[16 + -9y] 22 + -2y = 28 + -16y + [16 * -1 + -9y * -1] 22 + -2y = 28 + -16y + [-16 + 9y] Reorder the terms: 22 + -2y = 28 + -16 + -16y + 9y Combine like terms: 28 + -16 = 12 22 + -2y = 12 + -16y + 9y Combine like terms: -16y + 9y = -7y 22 + -2y = 12 + -7y Solving 22 + -2y = 12 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 22 + -2y + 7y = 12 + -7y + 7y Combine like terms: -2y + 7y = 5y 22 + 5y = 12 + -7y + 7y Combine like terms: -7y + 7y = 0 22 + 5y = 12 + 0 22 + 5y = 12 Add '-22' to each side of the equation. 22 + -22 + 5y = 12 + -22 Combine like terms: 22 + -22 = 0 0 + 5y = 12 + -22 5y = 12 + -22 Combine like terms: 12 + -22 = -10 5y = -10 Divide each side by '5'. y = -2 Simplifying y = -2
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