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Simplifying -2(Y + 3) + 5(Y + -2) = Y + 1 Reorder the terms: -2(3 + Y) + 5(Y + -2) = Y + 1 (3 * -2 + Y * -2) + 5(Y + -2) = Y + 1 (-6 + -2Y) + 5(Y + -2) = Y + 1 Reorder the terms: -6 + -2Y + 5(-2 + Y) = Y + 1 -6 + -2Y + (-2 * 5 + Y * 5) = Y + 1 -6 + -2Y + (-10 + 5Y) = Y + 1 Reorder the terms: -6 + -10 + -2Y + 5Y = Y + 1 Combine like terms: -6 + -10 = -16 -16 + -2Y + 5Y = Y + 1 Combine like terms: -2Y + 5Y = 3Y -16 + 3Y = Y + 1 Reorder the terms: -16 + 3Y = 1 + Y Solving -16 + 3Y = 1 + Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-1Y' to each side of the equation. -16 + 3Y + -1Y = 1 + Y + -1Y Combine like terms: 3Y + -1Y = 2Y -16 + 2Y = 1 + Y + -1Y Combine like terms: Y + -1Y = 0 -16 + 2Y = 1 + 0 -16 + 2Y = 1 Add '16' to each side of the equation. -16 + 16 + 2Y = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 2Y = 1 + 16 2Y = 1 + 16 Combine like terms: 1 + 16 = 17 2Y = 17 Divide each side by '2'. Y = 8.5 Simplifying Y = 8.5
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