The phrase 这样一来 is used in two cases:
1) to draw a conclusion about a previous sentence. This phrase comes in the beginning of the sentence. The phrase is separated with a comma.
Scheme
这样一来
conclusion
Examples
这样一来,有更多的人获得了解脱
Thus, more people have gained freedom.
zhèyàng yìlái, yǒu gèng duō de rén huòdé le jiětuō
这样一来,大量的图书馆就被毁了
Thus, a large number of libraries are getting ruined
zhèyàng yìlái, dàliàng de túshūguǎn jiù bèi huǐ le
2) to state the result of a previous sentence.
This phrase comes in the middle of the sentence. Commas are put around both sides of it.
Scheme
statement
这样一来
result
Examples
这些小鸟总是在唱歌,这样一来,我家门前可热闹了
These birds are always singing. This livens up my house