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Simplifying 3Y + 7 = 5Y + 6 Reorder the terms: 7 + 3Y = 5Y + 6 Reorder the terms: 7 + 3Y = 6 + 5Y Solving 7 + 3Y = 6 + 5Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-5Y' to each side of the equation. 7 + 3Y + -5Y = 6 + 5Y + -5Y Combine like terms: 3Y + -5Y = -2Y 7 + -2Y = 6 + 5Y + -5Y Combine like terms: 5Y + -5Y = 0 7 + -2Y = 6 + 0 7 + -2Y = 6 Add '-7' to each side of the equation. 7 + -7 + -2Y = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -2Y = 6 + -7 -2Y = 6 + -7 Combine like terms: 6 + -7 = -1 -2Y = -1 Divide each side by '-2'. Y = 0.5 Simplifying Y = 0.5
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