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Simplifying 3 + -5[4 + -1(6y + -5)] = 0 Reorder the terms: 3 + -5[4 + -1(-5 + 6y)] = 0 3 + -5[4 + (-5 * -1 + 6y * -1)] = 0 3 + -5[4 + (5 + -6y)] = 0 Combine like terms: 4 + 5 = 9 3 + -5[9 + -6y] = 0 3 + [9 * -5 + -6y * -5] = 0 3 + [-45 + 30y] = 0 Combine like terms: 3 + -45 = -42 -42 + 30y = 0 Solving -42 + 30y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 30y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 30y = 0 + 42 30y = 0 + 42 Combine like terms: 0 + 42 = 42 30y = 42 Divide each side by '30'. y = 1.4 Simplifying y = 1.4
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