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Simplifying 6[8 + -1(Y + 4)] = 3[(121) + -1(7 + -5 + 4)] Reorder the terms: 6[8 + -1(4 + Y)] = 3[(121) + -1(7 + -5 + 4)] 6[8 + (4 * -1 + Y * -1)] = 3[(121) + -1(7 + -5 + 4)] 6[8 + (-4 + -1Y)] = 3[(121) + -1(7 + -5 + 4)] Combine like terms: 8 + -4 = 4 6[4 + -1Y] = 3[(121) + -1(7 + -5 + 4)] [4 * 6 + -1Y * 6] = 3[(121) + -1(7 + -5 + 4)] [24 + -6Y] = 3[(121) + -1(7 + -5 + 4)] 24 + -6Y = 3[121 + -1(7 + -5 + 4)] Combine like terms: 7 + -5 = 2 24 + -6Y = 3[121 + -1(2 + 4)] Combine like terms: 2 + 4 = 6 24 + -6Y = 3[121 + -1(6)] Multiply -1 * 6 24 + -6Y = 3[121 + -6] Combine like terms: 121 + -6 = 115 24 + -6Y = 3[115] Multiply 3 * 115 24 + -6Y = 345 Solving 24 + -6Y = 345 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -6Y = 345 + -24 Combine like terms: 24 + -24 = 0 0 + -6Y = 345 + -24 -6Y = 345 + -24 Combine like terms: 345 + -24 = 321 -6Y = 321 Divide each side by '-6'. Y = -53.5 Simplifying Y = -53.5
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