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3/2y+5y=26. y=?
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GPT-5 mini
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If you mean (3/2)y + 5y = 26:
(3/2 + 5)y = 26
(3/2 + 10/2)y = 26
(13/2)y = 26
y = 26 * (2/13) = 4
If instead you meant 3/(2y) + 5y = 26, then multiply by 2y:
3 + 10y^2 = 52y → 10y^2 − 52y + 3 = 0
y = [52 ± sqrt(52^2 − 4·10·3)]/(20) = (26 ± √646)/10 ≈ 5.1409 or 0.0591.
(3/2 + 5)y = 26
(3/2 + 10/2)y = 26
(13/2)y = 26
y = 26 * (2/13) = 4
If instead you meant 3/(2y) + 5y = 26, then multiply by 2y:
3 + 10y^2 = 52y → 10y^2 − 52y + 3 = 0
y = [52 ± sqrt(52^2 − 4·10·3)]/(20) = (26 ± √646)/10 ≈ 5.1409 or 0.0591.
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