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Simplifying 7Y + 17 = 2Y + -18 Reorder the terms: 17 + 7Y = 2Y + -18 Reorder the terms: 17 + 7Y = -18 + 2Y Solving 17 + 7Y = -18 + 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 = -18 + 2Y + -2Y Combine like terms: 7Y + -2Y = 5Y 17 + 5Y = -18 + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 17 + 5Y = -18 + 0 17 + 5Y = -18 Add '-17' to each side of the equation. 17 + -17 + 5Y = -18 + -17 Combine like terms: 17 + -17 = 0 0 + 5Y = -18 + -17 5Y = -18 + -17 Combine like terms: -18 + -17 = -35 5Y = -35 Divide each side by '5'. Y = -7 Simplifying Y = -7
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