Deputy Premier Gabrielle Williams will be tasked with striking a pay deal with the state’s teachers and Colin Brooks will control Victoria’s finances as part of Labor’s new-look cabinet.

Unveiling the changes at Government House on Tuesday, Premier Ben Carroll said the revamped cabinet, which was reduced from 22 positions to 20, would deliver his promised new direction for Victorians.

Carroll departed from his predecessors in removing portfolios specifically dedicated to infrastructure projects, and also scrapped the portfolio of men and boys, which his predecessor, Jacinta Allan, created in April.

Anthony Carbines will move from his position as police minister to take over a new portfolio for artificial intelligence and the digital economy.

He will also take over major events, medical research, trade and investment and economic development, and keep the portfolio of racing.

Paul Edbrooke, who was sworn into cabinet earlier this year, will take over police alongside emergency services, multicultural affairs and crime prevention.

As deputy premier, Williams was able to nominate for her own portfolio and will step into Carroll’s previous role as education minister, while also taking up skills and training, First Peoples, women and gender equality.

Labor has not made a new offer to government educators since the union narrowly rejected the government’s offer in July. Pay negotiations between the union and government have since stalled, and principals, teachers and support staff from public schools are preparing to strike again on August 19.

Brooks takes the portfolios of treasurer and industrial relations minister from Jaclyn Symes, who will move to energy, environment and the State Electricity Commission, taking over from outgoing MP Lily D’Ambrosio.

Having previously served as minister for skills and TAFE, and minister for the defence industry, Brooks will be tasked with reining in government spending and convincing voters that Labor can manage the economy before the election on November 28.

Minister for Mental Health Ingrid Stitt has taken over the health portfolio from Harriet Shing, an Allan loyalist who announced her resignation from cabinet and plans to retire at the November election last week.

Under Carroll’s leadership, there is no transport infrastructure portfolio or a specific portfolio for the Suburban Rail Loop – two key responsibilities under the leadership of both Daniel Andrews and Allan.

Vicki Ward will oversee public transport, while Paul Hamer will oversee roads.

Sonya Kilkenny, who stood against Carroll for the party’s leadership position at Labor’s cabinet meeting last week, which threatened to force a six-week-long internal campaign, lost her portfolio of finance in the reshuffle, but will remain attorney-general and planning minister.

Kilkenny withdrew her candidacy last week after guaranteeing she would keep at least two portfolios, and that her Left factional ally Tim Richardson would join cabinet.

Gaming Minister Enver Erdogan will take on the finance portfolio, while Richardson has been appointed to the portfolios of local government, consumer affairs and renters.

Carroll’s decision to cut the total number of ministers from 22 to 20 is an attempt to show taxpayers he values their money. It marks the second reshuffle since April, when three ministers – Mary Anne-Thomas, Danny Pearson and Gayle Tierney – all resigned ahead of their retirements from parliament at the November election.

The April reshuffle allowed MPs Paul Edbrooke, Michaela Settle, Luba Grigorovitch and Paul Hamer to all join cabinet.