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Simplifying 3 + -2[4 + -1(5y + -9)] = 0 Reorder the terms: 3 + -2[4 + -1(-9 + 5y)] = 0 3 + -2[4 + (-9 * -1 + 5y * -1)] = 0 3 + -2[4 + (9 + -5y)] = 0 Combine like terms: 4 + 9 = 13 3 + -2[13 + -5y] = 0 3 + [13 * -2 + -5y * -2] = 0 3 + [-26 + 10y] = 0 Combine like terms: 3 + -26 = -23 -23 + 10y = 0 Solving -23 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 10y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 10y = 0 + 23 10y = 0 + 23 Combine like terms: 0 + 23 = 23 10y = 23 Divide each side by '10'. y = 2.3 Simplifying y = 2.3
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