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Simplifying 6 + -5[8 + -1(3y + -8)] = 0 Reorder the terms: 6 + -5[8 + -1(-8 + 3y)] = 0 6 + -5[8 + (-8 * -1 + 3y * -1)] = 0 6 + -5[8 + (8 + -3y)] = 0 Combine like terms: 8 + 8 = 16 6 + -5[16 + -3y] = 0 6 + [16 * -5 + -3y * -5] = 0 6 + [-80 + 15y] = 0 Combine like terms: 6 + -80 = -74 -74 + 15y = 0 Solving -74 + 15y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + 15y = 0 + 74 Combine like terms: -74 + 74 = 0 0 + 15y = 0 + 74 15y = 0 + 74 Combine like terms: 0 + 74 = 74 15y = 74 Divide each side by '15'. y = 4.933333333 Simplifying y = 4.933333333
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