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Simplifying -3Y + 7 = 4Y + 8 Reorder the terms: 7 + -3Y = 4Y + 8 Reorder the terms: 7 + -3Y = 8 + 4Y Solving 7 + -3Y = 8 + 4Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4Y' to each side of the equation. 7 + -3Y + -4Y = 8 + 4Y + -4Y Combine like terms: -3Y + -4Y = -7Y 7 + -7Y = 8 + 4Y + -4Y Combine like terms: 4Y + -4Y = 0 7 + -7Y = 8 + 0 7 + -7Y = 8 Add '-7' to each side of the equation. 7 + -7 + -7Y = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -7Y = 8 + -7 -7Y = 8 + -7 Combine like terms: 8 + -7 = 1 -7Y = 1 Divide each side by '-7'. Y = -0.1428571429 Simplifying Y = -0.1428571429
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