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Simplifying -2(Y + 7) = 3Y + 21 Reorder the terms: -2(7 + Y) = 3Y + 21 (7 * -2 + Y * -2) = 3Y + 21 (-14 + -2Y) = 3Y + 21 Reorder the terms: -14 + -2Y = 21 + 3Y Solving -14 + -2Y = 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. -14 + -2Y + -3Y = 21 + 3Y + -3Y Combine like terms: -2Y + -3Y = -5Y -14 + -5Y = 21 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 -14 + -5Y = 21 + 0 -14 + -5Y = 21 Add '14' to each side of the equation. -14 + 14 + -5Y = 21 + 14 Combine like terms: -14 + 14 = 0 0 + -5Y = 21 + 14 -5Y = 21 + 14 Combine like terms: 21 + 14 = 35 -5Y = 35 Divide each side by '-5'. Y = -7 Simplifying Y = -7
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