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Simplifying -129 + -1[7 + -8y + -5(6y + -2)] = -1(4y + -7) + -5[5(y + -1) + -4 + 6y] Reorder the terms: -129 + -1[7 + -8y + -5(-2 + 6y)] = -1(4y + -7) + -5[5(y + -1) + -4 + 6y] -129 + -1[7 + -8y + (-2 * -5 + 6y * -5)] = -1(4y + -7) + -5[5(y + -1) + -4 + 6y] -129 + -1[7 + -8y + (10 + -30y)] = -1(4y + -7) + -5[5(y + -1) + -4 + 6y] Reorder the terms: -129 + -1[7 + 10 + -8y + -30y] = -1(4y + -7) + -5[5(y + -1) + -4 + 6y] Combine like terms: 7 + 10 = 17 -129 + -1[17 + -8y + -30y] = -1(4y + -7) + -5[5(y + -1) + -4 + 6y] Combine like terms: -8y + -30y = -38y -129 + -1[17 + -38y] = -1(4y + -7) + -5[5(y + -1) + -4 + 6y] -129 + [17 * -1 + -38y * -1] = -1(4y + -7) + -5[5(y + -1) + -4 + 6y] -129 + [-17 + 38y] = -1(4y + -7) + -5[5(y + -1) + -4 + 6y] Combine like terms: -129 + -17 = -146 -146 + 38y = -1(4y + -7) + -5[5(y + -1) + -4 + 6y] Reorder the terms: -146 + 38y = -1(-7 + 4y) + -5[5(y + -1) + -4 + 6y] -146 + 38y = (-7 * -1 + 4y * -1) + -5[5(y + -1) + -4 + 6y] -146 + 38y = (7 + -4y) + -5[5(y + -1) + -4 + 6y] Reorder the terms: -146 + 38y = 7 + -4y + -5[5(-1 + y) + -4 + 6y] -146 + 38y = 7 + -4y + -5[(-1 * 5 + y * 5) + -4 + 6y] -146 + 38y = 7 + -4y + -5[(-5 + 5y) + -4 + 6y] Reorder the terms: -146 + 38y = 7 + -4y + -5[-5 + -4 + 5y + 6y] Combine like terms: -5 + -4 = -9 -146 + 38y = 7 + -4y + -5[-9 + 5y + 6y] Combine like terms: 5y + 6y = 11y -146 + 38y = 7 + -4y + -5[-9 + 11y] -146 + 38y = 7 + -4y + [-9 * -5 + 11y * -5] -146 + 38y = 7 + -4y + [45 + -55y] Reorder the terms: -146 + 38y = 7 + 45 + -4y + -55y Combine like terms: 7 + 45 = 52 -146 + 38y = 52 + -4y + -55y Combine like terms: -4y + -55y = -59y -146 + 38y = 52 + -59y Solving -146 + 38y = 52 + -59y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '59y' to each side of the equation. -146 + 38y + 59y = 52 + -59y + 59y Combine like terms: 38y + 59y = 97y -146 + 97y = 52 + -59y + 59y Combine like terms: -59y + 59y = 0 -146 + 97y = 52 + 0 -146 + 97y = 52 Add '146' to each side of the equation. -146 + 146 + 97y = 52 + 146 Combine like terms: -146 + 146 = 0 0 + 97y = 52 + 146 97y = 52 + 146 Combine like terms: 52 + 146 = 198 97y = 198 Divide each side by '97'. y = 2.041237113 Simplifying y = 2.041237113
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