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Simplifying 5 + -5[4 + -1(4y + -5)] = 0 Reorder the terms: 5 + -5[4 + -1(-5 + 4y)] = 0 5 + -5[4 + (-5 * -1 + 4y * -1)] = 0 5 + -5[4 + (5 + -4y)] = 0 Combine like terms: 4 + 5 = 9 5 + -5[9 + -4y] = 0 5 + [9 * -5 + -4y * -5] = 0 5 + [-45 + 20y] = 0 Combine like terms: 5 + -45 = -40 -40 + 20y = 0 Solving -40 + 20y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 20y = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 20y = 0 + 40 20y = 0 + 40 Combine like terms: 0 + 40 = 40 20y = 40 Divide each side by '20'. y = 2 Simplifying y = 2
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