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Simplifying -2Y + 2 = 7Y + 17 Reorder the terms: 2 + -2Y = 7Y + 17 Reorder the terms: 2 + -2Y = 17 + 7Y Solving 2 + -2Y = 17 + 7Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-7Y' to each side of the equation. 2 + -2Y + -7Y = 17 + 7Y + -7Y Combine like terms: -2Y + -7Y = -9Y 2 + -9Y = 17 + 7Y + -7Y Combine like terms: 7Y + -7Y = 0 2 + -9Y = 17 + 0 2 + -9Y = 17 Add '-2' to each side of the equation. 2 + -2 + -9Y = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -9Y = 17 + -2 -9Y = 17 + -2 Combine like terms: 17 + -2 = 15 -9Y = 15 Divide each side by '-9'. Y = -1.666666667 Simplifying Y = -1.666666667
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