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Simplifying 7 + -6[6 + -1(2y + -8)] = 0 Reorder the terms: 7 + -6[6 + -1(-8 + 2y)] = 0 7 + -6[6 + (-8 * -1 + 2y * -1)] = 0 7 + -6[6 + (8 + -2y)] = 0 Combine like terms: 6 + 8 = 14 7 + -6[14 + -2y] = 0 7 + [14 * -6 + -2y * -6] = 0 7 + [-84 + 12y] = 0 Combine like terms: 7 + -84 = -77 -77 + 12y = 0 Solving -77 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 12y = 0 + 77 Combine like terms: -77 + 77 = 0 0 + 12y = 0 + 77 12y = 0 + 77 Combine like terms: 0 + 77 = 77 12y = 77 Divide each side by '12'. y = 6.416666667 Simplifying y = 6.416666667
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