The main claim in "Say No to Library Cuts" is:
The funding of the public library should be protected because the library offers important programs and services that benefit the whole community.
This is the thesis statement of the essay. All the following paragraphs show how the community would be affected if library cuts were made. In the second to last paragraph, the author proposes an alternative solution so that no library cuts would be made. Many programs and services would be discontinued and the negative effects would not only be felt by children, senior citizens or other specific groups.