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Junior Subordinated Debentures (Details) (USD $)
In Thousands, unless otherwise specified
0 Months Ended 3 Months Ended
Oct. 16, 2014
Mar. 31, 2015
Dec. 31, 2014
Mar. 17, 2004
Junior subordinated debentures        
Junior subordinated debentures $ 5,100us-gaap_SubordinatedDebt 5,100us-gaap_SubordinatedDebt $ 5,100us-gaap_SubordinatedDebt  
Floating Rate Junior Subordinated Debentures        
Junior subordinated debentures        
Payment of principal amount at face value required to extend maturity 900byfc_DebtInstrumentPaymentOfPrincipalAmountAtFaceValueRequiredToExtendMaturity
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_JuniorSubordinatedDebtMember
     
Junior subordinated debentures       $ 6,000us-gaap_SubordinatedDebt
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_JuniorSubordinatedDebtMember
Effective interest rate on debentures (as a percent)   2.81%us-gaap_DebtInstrumentInterestRateEffectivePercentage
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_JuniorSubordinatedDebtMember
   
Number of years of quarterly payments of interest only 5 years      
Floating Rate Junior Subordinated Debentures | 3-month Libor        
Junior subordinated debentures        
Debt instrument interest rate description   3-Month LIBOR    
Basis spread (as a percent)   2.54%us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_JuniorSubordinatedDebtMember
/ us-gaap_VariableRateAxis
= us-gaap_LondonInterbankOfferedRateLIBORMember