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Simplifying 5(2Y + 3) + -6(y + 1) = 20 Reorder the terms: 5(3 + 2Y) + -6(y + 1) = 20 (3 * 5 + 2Y * 5) + -6(y + 1) = 20 (15 + 10Y) + -6(y + 1) = 20 Reorder the terms: 15 + 10Y + -6(1 + y) = 20 15 + 10Y + (1 * -6 + y * -6) = 20 15 + 10Y + (-6 + -6y) = 20 Reorder the terms: 15 + -6 + 10Y + -6y = 20 Combine like terms: 15 + -6 = 9 9 + 10Y + -6y = 20 Solving 9 + 10Y + -6y = 20 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 10Y + -9 + -6y = 20 + -9 Reorder the terms: 9 + -9 + 10Y + -6y = 20 + -9 Combine like terms: 9 + -9 = 0 0 + 10Y + -6y = 20 + -9 10Y + -6y = 20 + -9 Combine like terms: 20 + -9 = 11 10Y + -6y = 11 Add '6y' to each side of the equation. 10Y + -6y + 6y = 11 + 6y Combine like terms: -6y + 6y = 0 10Y + 0 = 11 + 6y 10Y = 11 + 6y Divide each side by '10'. Y = 1.1 + 0.6y Simplifying Y = 1.1 + 0.6y
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