Passage
Peace I leave with you; my peace I give unto you: not as the world giveth, give I unto you. Let not your heart be troubled, neither let it be fearful.
John 14:27 (ASV)
Nearby Context
John 14:25 These things have I spoken unto you, while [yet] abiding with you.
John 14:26 But the Comforter, [even] the Holy Spirit, whom the Father will send in my name, he shall teach you all things, and bring to your remembrance all that I said unto you.
John 14:27 Peace I leave with you; my peace I give unto you: not as the world giveth, give I unto you. Let not your heart be troubled, neither let it be fearful.
John 14:28 Ye heard how I said to you, I go away, and I come unto you. If ye loved me, ye would have rejoiced, because I go unto the Father: for the Father is greater than I.
John 14:29 And now I have told you before it come to pass, that, when it is come to pass, ye may believe.
Study Lenses
The verse centers on "world", "peace", "leave", "give", "giveth", and "heart". It is saying that the verse draws attention to "world" and "peace", so its meaning should be read from those terms before moving to application.
The nearby context moves from verse 26's "But the Comforter even the Holy Spirit..." into verse 28's "Ye heard how I said to you...", so "world" and "peace" belong inside that flow. In John context, the local focus is the identity of Jesus, new birth, eternal life, and belief and unbelief.
A plain takeaway is to answer the verse's own emphasis on "world" and "peace" with trust shaped by these words, not by a vague optimism outside the passage.