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Simplifying 5 + -7[6 + -1(5y + -6)] = 0 Reorder the terms: 5 + -7[6 + -1(-6 + 5y)] = 0 5 + -7[6 + (-6 * -1 + 5y * -1)] = 0 5 + -7[6 + (6 + -5y)] = 0 Combine like terms: 6 + 6 = 12 5 + -7[12 + -5y] = 0 5 + [12 * -7 + -5y * -7] = 0 5 + [-84 + 35y] = 0 Combine like terms: 5 + -84 = -79 -79 + 35y = 0 Solving -79 + 35y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 79 + 35y = 0 + 79 Combine like terms: -79 + 79 = 0 0 + 35y = 0 + 79 35y = 0 + 79 Combine like terms: 0 + 79 = 79 35y = 79 Divide each side by '35'. y = 2.257142857 Simplifying y = 2.257142857
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