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Simplifying 8 + -9[9 + -1(4y + -2)] = x Reorder the terms: 8 + -9[9 + -1(-2 + 4y)] = x 8 + -9[9 + (-2 * -1 + 4y * -1)] = x 8 + -9[9 + (2 + -4y)] = x Combine like terms: 9 + 2 = 11 8 + -9[11 + -4y] = x 8 + [11 * -9 + -4y * -9] = x 8 + [-99 + 36y] = x Combine like terms: 8 + -99 = -91 -91 + 36y = x Solving -91 + 36y = x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '91' to each side of the equation. -91 + 91 + 36y = 91 + x Combine like terms: -91 + 91 = 0 0 + 36y = 91 + x 36y = 91 + x Divide each side by '36'. y = 2.527777778 + 0.02777777778x Simplifying y = 2.527777778 + 0.02777777778x
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