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constraint


i'm having problems with inserting an algebraic
constraint into a series of differential equations and
solving with NDSolve.
for example
sol1 = NDSolve[{
      y1'[t] == 0.5*k2 + k4*y2[t]*y3[t] -
k10*y1[t]*y4[t],
	y2'[t] == 
        k1 + k3 + k5*y1[t]*y1[t] - k4*y2[t]*y3[t], 
y3'[t] == 
      k9*y3[t]*y1[t] - k4*y2[t]*y3[t] -
k8*y1[t]*y3[t],

and instead of using a differential eq for y4[t] i
want to use an algebraic equation for example
y4[t]=k12-y1[t]-y2[t],



is it possible to solve this using NDSolve?



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