alleryStart learning →Solve: 8 - 2(3y + 5) = 0.
Ay = 1/3
By = -1/3
Cy = -30
Dy = 30
Answer & Solution
Correct answer: B. y = -1/3
1. Distribute on the left: -2(3y + 5) becomes -6y - 10.
2. Combine like terms: 8 - 6y - 10 simplifies to -6y - 2.
3. The equation is now -6y - 2 = 0, so -6y = 2 after adding 2 to both sides.
4. Divide both sides by -6 to get y equals negative one-third, and checking confirms 8 - 2(3(-1/3) + 5) equals 8 - 2(4) equals 0.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.4 Use a General Strategy to Solve Linear Equations_
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