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Simplifying 7Y + 17 = -2Y + -10 Reorder the terms: 17 + 7Y = -2Y + -10 Reorder the terms: 17 + 7Y = -10 + -2Y Solving 17 + 7Y = -10 + -2Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '2Y' to each side of the equation. 17 + 7Y + 2Y = -10 + -2Y + 2Y Combine like terms: 7Y + 2Y = 9Y 17 + 9Y = -10 + -2Y + 2Y Combine like terms: -2Y + 2Y = 0 17 + 9Y = -10 + 0 17 + 9Y = -10 Add '-17' to each side of the equation. 17 + -17 + 9Y = -10 + -17 Combine like terms: 17 + -17 = 0 0 + 9Y = -10 + -17 9Y = -10 + -17 Combine like terms: -10 + -17 = -27 9Y = -27 Divide each side by '9'. Y = -3 Simplifying Y = -3
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