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Simplifying 7(2Y + -6) + -1(5Y + 7) = 0 Reorder the terms: 7(-6 + 2Y) + -1(5Y + 7) = 0 (-6 * 7 + 2Y * 7) + -1(5Y + 7) = 0 (-42 + 14Y) + -1(5Y + 7) = 0 Reorder the terms: -42 + 14Y + -1(7 + 5Y) = 0 -42 + 14Y + (7 * -1 + 5Y * -1) = 0 -42 + 14Y + (-7 + -5Y) = 0 Reorder the terms: -42 + -7 + 14Y + -5Y = 0 Combine like terms: -42 + -7 = -49 -49 + 14Y + -5Y = 0 Combine like terms: 14Y + -5Y = 9Y -49 + 9Y = 0 Solving -49 + 9Y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 9Y = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 9Y = 0 + 49 9Y = 0 + 49 Combine like terms: 0 + 49 = 49 9Y = 49 Divide each side by '9'. Y = 5.444444444 Simplifying Y = 5.444444444
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