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Simplifying 3(2Y + -3) + -1(7Y + 9) = 0 Reorder the terms: 3(-3 + 2Y) + -1(7Y + 9) = 0 (-3 * 3 + 2Y * 3) + -1(7Y + 9) = 0 (-9 + 6Y) + -1(7Y + 9) = 0 Reorder the terms: -9 + 6Y + -1(9 + 7Y) = 0 -9 + 6Y + (9 * -1 + 7Y * -1) = 0 -9 + 6Y + (-9 + -7Y) = 0 Reorder the terms: -9 + -9 + 6Y + -7Y = 0 Combine like terms: -9 + -9 = -18 -18 + 6Y + -7Y = 0 Combine like terms: 6Y + -7Y = -1Y -18 + -1Y = 0 Solving -18 + -1Y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1Y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1Y = 0 + 18 -1Y = 0 + 18 Combine like terms: 0 + 18 = 18 -1Y = 18 Divide each side by '-1'. Y = -18 Simplifying Y = -18
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