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Simplifying 8 + -9[7 + -1(4y + -2)] = 0 Reorder the terms: 8 + -9[7 + -1(-2 + 4y)] = 0 8 + -9[7 + (-2 * -1 + 4y * -1)] = 0 8 + -9[7 + (2 + -4y)] = 0 Combine like terms: 7 + 2 = 9 8 + -9[9 + -4y] = 0 8 + [9 * -9 + -4y * -9] = 0 8 + [-81 + 36y] = 0 Combine like terms: 8 + -81 = -73 -73 + 36y = 0 Solving -73 + 36y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + 36y = 0 + 73 Combine like terms: -73 + 73 = 0 0 + 36y = 0 + 73 36y = 0 + 73 Combine like terms: 0 + 73 = 73 36y = 73 Divide each side by '36'. y = 2.027777778 Simplifying y = 2.027777778
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