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Simplifying 5 + -6[7 + -1(3y + -6)] = 0 Reorder the terms: 5 + -6[7 + -1(-6 + 3y)] = 0 5 + -6[7 + (-6 * -1 + 3y * -1)] = 0 5 + -6[7 + (6 + -3y)] = 0 Combine like terms: 7 + 6 = 13 5 + -6[13 + -3y] = 0 5 + [13 * -6 + -3y * -6] = 0 5 + [-78 + 18y] = 0 Combine like terms: 5 + -78 = -73 -73 + 18y = 0 Solving -73 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + 18y = 0 + 73 Combine like terms: -73 + 73 = 0 0 + 18y = 0 + 73 18y = 0 + 73 Combine like terms: 0 + 73 = 73 18y = 73 Divide each side by '18'. y = 4.055555556 Simplifying y = 4.055555556
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