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Simplifying 6Y + -32 + 4Y + -11 = Y + -12 + 4 Reorder the terms: -32 + -11 + 6Y + 4Y = Y + -12 + 4 Combine like terms: -32 + -11 = -43 -43 + 6Y + 4Y = Y + -12 + 4 Combine like terms: 6Y + 4Y = 10Y -43 + 10Y = Y + -12 + 4 Reorder the terms: -43 + 10Y = -12 + 4 + Y Combine like terms: -12 + 4 = -8 -43 + 10Y = -8 + Y Solving -43 + 10Y = -8 + Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-1Y' to each side of the equation. -43 + 10Y + -1Y = -8 + Y + -1Y Combine like terms: 10Y + -1Y = 9Y -43 + 9Y = -8 + Y + -1Y Combine like terms: Y + -1Y = 0 -43 + 9Y = -8 + 0 -43 + 9Y = -8 Add '43' to each side of the equation. -43 + 43 + 9Y = -8 + 43 Combine like terms: -43 + 43 = 0 0 + 9Y = -8 + 43 9Y = -8 + 43 Combine like terms: -8 + 43 = 35 9Y = 35 Divide each side by '9'. Y = 3.888888889 Simplifying Y = 3.888888889
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