“With great difficulty they ascended up the hill.” As they could not ascend down the hill it is evident that the word up is superfluous.
“Where has he been to?” The sentence is not only more concise, but more elegant without the terminal to.
Both
The sentence, “The two children both resembled each other,” will be greatly improved by omitting the word both. So also in “These baskets are both alike,” “William and I both went to Cuba.”
But that
“I do not doubt but that my uncle will come.” The sentence is shorter and more clear without the word but. “I have no idea but that the crew was drowned.” Here but is necessary. Without it the opposite meaning would be conveyed.
Equally as well
“James did it well, but Henry did it equally as well.” As well or equally well should be used instead of equally as well. “This method will be equally as efficacious.” Omit as.
Everywheres