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Simplifying 5 + -4[6 + -1(2y + -9)] = 0 Reorder the terms: 5 + -4[6 + -1(-9 + 2y)] = 0 5 + -4[6 + (-9 * -1 + 2y * -1)] = 0 5 + -4[6 + (9 + -2y)] = 0 Combine like terms: 6 + 9 = 15 5 + -4[15 + -2y] = 0 5 + [15 * -4 + -2y * -4] = 0 5 + [-60 + 8y] = 0 Combine like terms: 5 + -60 = -55 -55 + 8y = 0 Solving -55 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 8y = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 8y = 0 + 55 8y = 0 + 55 Combine like terms: 0 + 55 = 55 8y = 55 Divide each side by '8'. y = 6.875 Simplifying y = 6.875
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