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Simplifying 9y + -1[3 + -8(y + -4)] = 50 Reorder the terms: 9y + -1[3 + -8(-4 + y)] = 50 9y + -1[3 + (-4 * -8 + y * -8)] = 50 9y + -1[3 + (32 + -8y)] = 50 Combine like terms: 3 + 32 = 35 9y + -1[35 + -8y] = 50 9y + [35 * -1 + -8y * -1] = 50 9y + [-35 + 8y] = 50 Reorder the terms: -35 + 9y + 8y = 50 Combine like terms: 9y + 8y = 17y -35 + 17y = 50 Solving -35 + 17y = 50 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 17y = 50 + 35 Combine like terms: -35 + 35 = 0 0 + 17y = 50 + 35 17y = 50 + 35 Combine like terms: 50 + 35 = 85 17y = 85 Divide each side by '17'. y = 5 Simplifying y = 5
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