Extensive measurements of the normal-state susceptibility have been performed on high quality YBa2Cu3Ox (123) and Y2Ba4Cu7Oy (247) superconducting samples with various oxygen contents. The behaviour of χg(T) is similar to that of the other high-Tc oxides where the critical temperature can be varied like La2−xSrxCuO4−y [1], Bi2Sr2CaCu2O8+δ [2], Tl2Ba2Cu1O6+δ [3], … Near the optimum hole doping where Tc is maximum, the normal-state susceptibility becomes temperature independent. Below this optimum (with a lower oxidation), the slope ∂χg/∂T is positive. This can be attributed to 2 dimensional, Heisenberg antiferromagnetic (AF) short-range order. If the oxidation decreases, 6.4<6.6 in the YBa2Cu3Ox and y<14.5 in the Y2Ba4Cu7Oy phase, a low-T upturn appears which suggests incipient 3 dimensional order. In contrast to the 247 system where all samples are superconducting, the 123 ceramics with about x<6.4 are insulating. No break in χg(T) was detected at the Néel temperature TN (3D long range AF order) in these samples. Above the optimum doping (with a larger oxidation), the slope is negative. It seems that only in the 123 system can the overdoped superconducting state be obtained (x>6.96). A sample with x=6.98 presents a negative slope of χg(T). However, already 0.1% by volume of the potential impurity BaCuO2 could change the sign of the slope.