1) $$rac{14a^6b^4}{35a^3b^5} = \frac{2a^3}{5b}$$
2) $$\frac{12xy-3x}{3xy} = \frac{3x(4y-1)}{3xy} = \frac{4y-1}{y}$$
3) $$\frac{y^2-4}{3y+6} = \frac{(y-2)(y+2)}{3(y+2)} = \frac{y-2}{3}$$
4) $$\frac{16-x^2}{x^2+8x+16} = \frac{(4-x)(4+x)}{(x+4)^2} = \frac{4-x}{x+4}$$