よう

To be like
Plain form verb + よう(な/に）
Noun + の + よう(な/に）

よう is a な adjective used to convert nouns or verb clauses into な adjectives. Its kind of like “~like” in English.

ような

Verb + ような functions as a な adjective representing the approximate state of the preceding clause. ような isn’t exact, and means “something like” rather than “is“

• 大木のような男だ – A man like a large tree.
• 子供をなぐるような人はきらいだ。- I hate people who would do something like hit a child. 
• うそをつくような人は信じない – I don’t trust people who would do something like lie.
• 子猫をけるような人間は最低 – People who would do something like kick a kitten are the worst. 

ように

This is the adverb form of the な adjective, よう。It is used to modify verbs. 

• 猫のように食べた – Ate like a cat. 
• 車を買うように見えた – It looked liked he was going to buy a car. 
• あかちゃんのように泣いた – Cried like a baby.

See also ようだ