The phrase "as result" is commonly used to indicate a cause-and-effect relationship. However, there are several synonyms that can be used in its place to add variety to your writing. For instance, you can use "consequently" to suggest that one event led to another. Similarly, "thus" and "therefore" can be used to imply a causal link. If you want to be more formal, the phrase "in consequence" can be used instead. Alternatively, "due to" and "owing to" can be used to explain the cause of an event. Other synonymous phrases for "as result" include "accordingly", "hence", "so", and "in light of this".