Is salvation the same as forgiveness of sins?

One of my latest questions concerned the issue of animal sacrifices in the Old Testament times. (https://christianity.stackexchange.com/questions/103127/why-were-animal-sacrifices-required-for-those-in-the-old-testament-period-but-n) . There are verses in the Bible that suggest that animal sacrifice led to forgiveness of sins (Hebrews 9:22; Numbers 15:25 (ESV): and Leviticus 4:20). One of the responses to my question (above) asserted that it is impossible to have salvation through animal sacrifice. Since childhood, we have been taught that salvation is through Jesus. The discussion on my earlier question made me ask myself whether salvation and forgiveness of sins are the same thing. If a person had their sins forgiven (for instance under the Old Testament covenant), is that different from salvation?