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Simplifying 7(Y + -8) = 3(13 + -1Y) Reorder the terms: 7(-8 + Y) = 3(13 + -1Y) (-8 * 7 + Y * 7) = 3(13 + -1Y) (-56 + 7Y) = 3(13 + -1Y) -56 + 7Y = (13 * 3 + -1Y * 3) -56 + 7Y = (39 + -3Y) Solving -56 + 7Y = 39 + -3Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '3Y' to each side of the equation. -56 + 7Y + 3Y = 39 + -3Y + 3Y Combine like terms: 7Y + 3Y = 10Y -56 + 10Y = 39 + -3Y + 3Y Combine like terms: -3Y + 3Y = 0 -56 + 10Y = 39 + 0 -56 + 10Y = 39 Add '56' to each side of the equation. -56 + 56 + 10Y = 39 + 56 Combine like terms: -56 + 56 = 0 0 + 10Y = 39 + 56 10Y = 39 + 56 Combine like terms: 39 + 56 = 95 10Y = 95 Divide each side by '10'. Y = 9.5 Simplifying Y = 9.5
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