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Simplifying (7Y + 5) + -1(3 + 6Y) = 12 Reorder the terms: (5 + 7Y) + -1(3 + 6Y) = 12 Remove parenthesis around (5 + 7Y) 5 + 7Y + -1(3 + 6Y) = 12 5 + 7Y + (3 * -1 + 6Y * -1) = 12 5 + 7Y + (-3 + -6Y) = 12 Reorder the terms: 5 + -3 + 7Y + -6Y = 12 Combine like terms: 5 + -3 = 2 2 + 7Y + -6Y = 12 Combine like terms: 7Y + -6Y = 1Y 2 + 1Y = 12 Solving 2 + 1Y = 12 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1Y = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 1Y = 12 + -2 1Y = 12 + -2 Combine like terms: 12 + -2 = 10 1Y = 10 Divide each side by '1'. Y = 10 Simplifying Y = 10
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