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Simplifying -5(Y + 2) + 7 + -1Y = 3(Y + 7) Reorder the terms: -5(2 + Y) + 7 + -1Y = 3(Y + 7) (2 * -5 + Y * -5) + 7 + -1Y = 3(Y + 7) (-10 + -5Y) + 7 + -1Y = 3(Y + 7) Reorder the terms: -10 + 7 + -5Y + -1Y = 3(Y + 7) Combine like terms: -10 + 7 = -3 -3 + -5Y + -1Y = 3(Y + 7) Combine like terms: -5Y + -1Y = -6Y -3 + -6Y = 3(Y + 7) Reorder the terms: -3 + -6Y = 3(7 + Y) -3 + -6Y = (7 * 3 + Y * 3) -3 + -6Y = (21 + 3Y) Solving -3 + -6Y = 21 + 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. -3 + -6Y + -3Y = 21 + 3Y + -3Y Combine like terms: -6Y + -3Y = -9Y -3 + -9Y = 21 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 -3 + -9Y = 21 + 0 -3 + -9Y = 21 Add '3' to each side of the equation. -3 + 3 + -9Y = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -9Y = 21 + 3 -9Y = 21 + 3 Combine like terms: 21 + 3 = 24 -9Y = 24 Divide each side by '-9'. Y = -2.666666667 Simplifying Y = -2.666666667
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