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Simplifying 6(Y + -3) + -5(Y + 2) = 8 Reorder the terms: 6(-3 + Y) + -5(Y + 2) = 8 (-3 * 6 + Y * 6) + -5(Y + 2) = 8 (-18 + 6Y) + -5(Y + 2) = 8 Reorder the terms: -18 + 6Y + -5(2 + Y) = 8 -18 + 6Y + (2 * -5 + Y * -5) = 8 -18 + 6Y + (-10 + -5Y) = 8 Reorder the terms: -18 + -10 + 6Y + -5Y = 8 Combine like terms: -18 + -10 = -28 -28 + 6Y + -5Y = 8 Combine like terms: 6Y + -5Y = 1Y -28 + 1Y = 8 Solving -28 + 1Y = 8 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 1Y = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 1Y = 8 + 28 1Y = 8 + 28 Combine like terms: 8 + 28 = 36 1Y = 36 Divide each side by '1'. Y = 36 Simplifying Y = 36
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