Final answer:
The linear equation 3y + 4 / 2-6y = -2/5 simplifies to -3y +2 = -2/5. After performing basic algebraic operations, we find that y = 4/5, an answer not included in the given choices. It appears there may be a mistake in the equation or the answer options.
Step-by-step explanation:
The solution to the linear equation 3y + 4 / 2-6y = -2/5 can be found by applying standard mathematical operations and algebraic principles. First, the equation needs to be simplified. On simplifying, the equation becomes 3y + 2 - 6y = -2/5. This further simplifies to -3y + 2 = -2/5. Then, subtract 2 from both sides of the equation, which leads to -3y = -2/5 - 2. Simplifying further, it becomes -3y = -12/5. Finally, divide each side by -3 to find the value of 'y'. Hence, y = 4/5, which is not included in the options provided. Thus, it seems there may be a mistake in the original equation or the answer choices.
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