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Simplifying 6 + -3[3 + -1(6y + -5)] = 0 Reorder the terms: 6 + -3[3 + -1(-5 + 6y)] = 0 6 + -3[3 + (-5 * -1 + 6y * -1)] = 0 6 + -3[3 + (5 + -6y)] = 0 Combine like terms: 3 + 5 = 8 6 + -3[8 + -6y] = 0 6 + [8 * -3 + -6y * -3] = 0 6 + [-24 + 18y] = 0 Combine like terms: 6 + -24 = -18 -18 + 18y = 0 Solving -18 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 18y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18y = 0 + 18 18y = 0 + 18 Combine like terms: 0 + 18 = 18 18y = 18 Divide each side by '18'. y = 1 Simplifying y = 1
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