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Simplifying 9y + -1[4y + -1(2y + -5)] = 10 Reorder the terms: 9y + -1[4y + -1(-5 + 2y)] = 10 9y + -1[4y + (-5 * -1 + 2y * -1)] = 10 9y + -1[4y + (5 + -2y)] = 10 Reorder the terms: 9y + -1[5 + 4y + -2y] = 10 Combine like terms: 4y + -2y = 2y 9y + -1[5 + 2y] = 10 9y + [5 * -1 + 2y * -1] = 10 9y + [-5 + -2y] = 10 Reorder the terms: -5 + 9y + -2y = 10 Combine like terms: 9y + -2y = 7y -5 + 7y = 10 Solving -5 + 7y = 10 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7y = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 7y = 10 + 5 7y = 10 + 5 Combine like terms: 10 + 5 = 15 7y = 15 Divide each side by '7'. y = 2.142857143 Simplifying y = 2.142857143
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