Question

4x-e^(-(4x-y+3))=-e^(-2)

y=________

I have tried multiple times and cant get it. Please help

Answer 1

4x - e^(-(4x-y+3)) = -e^(-2)

e^(-(4x-y+3))= 4x + e^(-2)
-(4x-y+3) = ln(4x + e^-2)
4x-y+3 = -ln(4x + e^-2)
y = 4x+3 + ln(4x + e^-2)