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Simplifying 12(2Y) + 6Y + 6(2Y + -200) = 39400 Remove parenthesis around (2Y) 12 * 2Y + 6Y + 6(2Y + -200) = 39400 Multiply 12 * 2 24Y + 6Y + 6(2Y + -200) = 39400 Reorder the terms: 24Y + 6Y + 6(-200 + 2Y) = 39400 24Y + 6Y + (-200 * 6 + 2Y * 6) = 39400 24Y + 6Y + (-1200 + 12Y) = 39400 Reorder the terms: -1200 + 24Y + 6Y + 12Y = 39400 Combine like terms: 24Y + 6Y = 30Y -1200 + 30Y + 12Y = 39400 Combine like terms: 30Y + 12Y = 42Y -1200 + 42Y = 39400 Solving -1200 + 42Y = 39400 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '1200' to each side of the equation. -1200 + 1200 + 42Y = 39400 + 1200 Combine like terms: -1200 + 1200 = 0 0 + 42Y = 39400 + 1200 42Y = 39400 + 1200 Combine like terms: 39400 + 1200 = 40600 42Y = 40600 Divide each side by '42'. Y = 966.6666667 Simplifying Y = 966.6666667
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