West had 707 votes, or 35.98 percent of the vote, and businessman Frank Flores led fellow businessman Kurt Brinkman by only four votes, 628 to 624, with some absentee results remaining to be counted by the Alameda County Registrar of Voters office.
Flores received 31.96 percent of the vote and Brinkman had 31.76 percent.
West and the ultimate second-place finisher will replace incumbents Dick Kassis and John Fricke, who both chose not to seek re-election. Kassis currently serves as the city's mayor.
In her ballot statement, West said her priorities are building a more livable community, more parks and open space, better pedestrian and bicycle access and strong support for the city's schools.
Flores said his priorities are smart and sustainable growth, increasing the quality of the city's schools and using tax and redevelopment money wisely and efficiently.
Brinkman said the most important things for him are the city's financial planning needs, aligning the city's planning and transportation needs and preserving and restoring its waterways.
Emeryville voters also approved Measure K, which will increase the business license on the city's lone card room, The Oaks, from 9 percent of gross receipts or $1,000 per table per month, whichever is greater, to 10 percent of gross receipts or $1,000 per table per month, whichever is greater.
All five members of the Emeryville City Council supported the measure, which won by a margin of 82.6 percent to 17.4 percent.
In their ballot argument in support of Measure K, they said it "increases an important revenue source to ensure that our city can maintain the high quality of public safety, maintain parks and greenways, street repair and emergency services."
They said the city has already been forced to lay off 8 percent of its workforce and reduce some services and "without this measure essential city services will be further cut."
No ballot argument against the measure was submitted.
In a three-way race for two seats on the Newark City Council, incumbents Ana Apodaca and Alan Nagy were re-elected and challenger Nadja Adolf finished a distant third.
Apodaca received 42.8 percent of the vote, Nagy got 42 percent of the vote and Adolf only received 14.3 percent.
Apodaca, who works in the community and government relations sector, said her priorities are fiscal responsibility, economic development, ensuring rapid response times by public safety agencies and maintaining a high quality of life for residents of all ages.
Nagy said public safety is his top priority and fiscal management and quality of life are also important.
Adolf said her priorities are reducing crime, balancing the city's budget without raising taxes and preserving the city's quality of life.
Newark Mayor David Smith was re-elected with 95.2 percent of the vote. Write-in candidates received 4.8 percent of the vote.
Newark voters were narrowly defeating Measure L, which would have established a 3.9 percent utility users tax for six years.
However, there were only 8 more "no" votes than "yes" votes so uncounted absentee ballots could change the outcome, as only a simple majority is needed for approval.
As of Tuesday night, 50.1 percent, or 2,068, of Newark's voters were against the measure and 49.9 percent, or 2,060, were in favor.
Supporters say the measure will raise enough money to prevent severe cuts to important city services.
Albany voters approved two school-related parcel taxes by well over the two-thirds margin needed for passage.
Measure I is a tax of $149 a year on residential units to help restore teacher positions and student services lost because of state budget cuts. The measure won by a margin of 75.8 percent to 24.2 percent.
Measure J is a tax of $555 a year on residential units to raise funds for programs such as school library and mental health services, science, technology, the arts, music courses and athletics. It won by a margin of 76.7 percent to 23.3 percent.