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Simplifying -129 + -1[7 + -8y + -5(6y + -2)] = 0 Reorder the terms: -129 + -1[7 + -8y + -5(-2 + 6y)] = 0 -129 + -1[7 + -8y + (-2 * -5 + 6y * -5)] = 0 -129 + -1[7 + -8y + (10 + -30y)] = 0 Reorder the terms: -129 + -1[7 + 10 + -8y + -30y] = 0 Combine like terms: 7 + 10 = 17 -129 + -1[17 + -8y + -30y] = 0 Combine like terms: -8y + -30y = -38y -129 + -1[17 + -38y] = 0 -129 + [17 * -1 + -38y * -1] = 0 -129 + [-17 + 38y] = 0 Combine like terms: -129 + -17 = -146 -146 + 38y = 0 Solving -146 + 38y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '146' to each side of the equation. -146 + 146 + 38y = 0 + 146 Combine like terms: -146 + 146 = 0 0 + 38y = 0 + 146 38y = 0 + 146 Combine like terms: 0 + 146 = 146 38y = 146 Divide each side by '38'. y = 3.842105263 Simplifying y = 3.842105263
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