Question: "Let Yourself Go"is written which member ,and songwriter of Green Day ?

Context paragraphs:
Foxboro Hot Tubs: Foxboro Hot Tubs is a garage rock side project of Green Day, formed in 2007.  The band includes all members of Green Day, touring member Jason White and Jason Freese, and Kevin Preston of Prima Donna Their first album "Stop Drop and Roll!!! " was released on April 22, 2008.  The name "Foxboro Hot Tubs" is the alias Green Day uses to book secret shows.  When performing as Foxboro Hot Tubs, Billie Joe Armstrong and Jason White go by the names Reverend Strychnine Twitch and Frosco Lee respectively.

¡Cuatro!: ¡Cuatro!  is a 2013 rockumentary starring the punk rock band Green Day, directed by Tim Wheeler.  The film documents the creation of the band's 2012 album trilogy "¡Uno! ", "¡Dos! " and "¡Tré! ".  The documentary, directed by Tim Wheeler and produced by Tim Lynch (who had previously produced Green Day's "Bullet in a Bible" in 2005), was released through Reprise Records on the September 24, 2013.  A 40-minute version of the documentary premiered on VH1 in 2012.  The documentary contains footage of Green Day's producer Rob Cavallo and Green Day's days composing and organizing the trilogy until their release. " ¡Cuatro!"  was nominated for a Grammy Award for Best Music Film.

Adeline Records: Adeline Records was a record label which was formed in Oakland, California, United States in late 1997 and closed down in August 2017.  It was created by Billie Joe Armstrong, lead singer of Green Day, Screw 32's Doug Sangalang, Green Day guitarist Jason White and professional skateboarder Jim Thiebaud.  Green Day's management company, Pat Magnarella Management, took over ownership of the label and ran it from his office in San Diego for many years.  In July 2017 Pat Magnarella split from Green Day having managed them for over 21 years and shortly thereafter Adeline Records abruptly closed down.  Adeline Records was named after a street (Adeline Street) that runs from The Port of Oakland through West Oakland and NOBE, terminating at Ward St and Shattuck Ave in Berkeley.

Billie Joe Armstrong: Billie Joe Armstrong (born February 17, 1972) is an American musician, singer, songwriter and actor who is best known as the lead vocalist, primary songwriter, and guitarist of the punk rock band Green Day, which he co-founded with Mike Dirnt.  He is also a guitarist and vocalist for the punk rock band Pinhead Gunpowder and provides lead vocals for Green Day's side projects Foxboro Hot Tubs and The Network.

Kerplunk (album): Kerplunk is the second studio album by American punk rock band Green Day, released on December 17, 1991 by Lookout!  Records.  "Kerplunk" was Green Day's last release on the Lookout Records label, and was also the first album to feature Tré Cool on drums.  The album sold 10,000 copies its first day and became Lookout! 's biggest selling release.  After debuting it to their fans in the Berkeley, California area and receiving much approval from the critical 924 Gilman Street crowd, the band packed up in a cramped, converted Book Mobile and headed east.  Green Day developed a fan base on the east coast, behind the determined grass root efforts of lead singer, Billie Joe Armstrong.  The opportunity paid off as album sales reached over 50,000 copies.  Along with the successful live shows, major labels took notice of "Kerplunk"'s phenomenal popularity, as a result, many approached the band.  Green Day realized that they had outgrown their record distribution capacity with Lookout!  and eventually signed with Reprise Records.  With Reprise, Green Day recorded and released their next album "Dookie" (1994).  The album officially includes only 12 tracks, but the versions released on CD and cassette also include the 4 tracks from the "Sweet Children" EP.  One of those tracks is a cover of The Who's "My Generation".

Let Yourself Go (Green Day song): "Let Yourself Go" is a song by American punk rock band Green Day.  Written by Billie Joe Armstrong and produced by Rob Cavallo and the band for their ninth studio album, "¡Uno! ", the song was released as the third single from the album on September 5, 2012.  However, the "official live video" of the song was revealed on August 1, 2012.

Green Day discography: The American punk rock band Green Day has released 12 studio albums, two live albums, four compilation albums, one soundtrack album, four video albums, 10 extended plays, four box sets, 43 singles, ten promotional singles, and 39 music videos.  The band has sold over 85 million records worldwide, including more than 30 million in the United States alone.  Green Day released their first two studio albums, "1,039/Smoothed Out Slappy Hours" (1991) (consisting of the original "39/Smooth" as well as their first two EP's "1,000 Hours" and "Slappy") and "Kerplunk" (1991), through the independent label Lookout!  Records before signing to major label Reprise Records. " Dookie", the band's first album on the label and third studio album overall, was released in February 1994.  It was a breakout success, selling over 10 million copies in the United States and 20 million copies worldwide.  "Dookie" spawned five singles, including the international hits "Longview", Basket Case" and "When I Come Around".  The album placed Green Day at the forefront of the 1990s punk rock revival.

Boulevard of Broken Dreams (Green Day song): "Boulevard of Broken Dreams" is a song by American punk rock band Green Day, recorded for their seventh studio album "American Idiot" (2004).  Reprise Records released "Boulevard of Broken Dreams" as the second single from "American Idiot".  The song's lyrics were written by lead singer Billie Joe Armstrong, and composed by the band.  Production was handled by Rob Cavallo and Green Day.  "Boulevard of Broken Dreams" remains one of Green Day's signature songs.

Green Day related projects: Since 1991, some members of punk band Green Day have branched out past their "main band" and have started other projects with other musicians and have released full-length albums and several EPs.  Notable related projects of Green Day include Billie Joe Armstrong's Pinhead Gunpowder (which also featured Green Day's other guitarist Jason White), The Frustrators in which Mike Dirnt plays bass, and The Network which many speculate has all three members of Green Day, although under stagenames.

Green Day: Rock Band: Green Day: Rock Band is a 2010 music video game developed by Harmonix, published by MTV Games and distributed by Electronic Arts.  It is the fifth major console release in the "Rock Band" music video game series and it allows players to simulate the playing of rock music by using controllers shaped like musical instruments.  The game's setlist consists of songs by the American punk rock band Green Day.  "Green Day: Rock Band" features virtual depictions of the three band members performing the songs in new venues designed for the game.

Supporting paragraphs: Let Yourself Go (Green Day song) Billie Joe Armstrong
Answer: Billie Joe Armstrong