Question

solve $8x - 2y = 12$ for $y$.\
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a. $y = 8x + 6$\
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b. $y = 4x - 6$\
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c. $y = -8x + 12$\
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d. $y = 4x - 12$

Explanation:

Step1: Isolate the term with y

Start with the equation \( 8x - 2y = 12 \). Subtract \( 8x \) from both sides to get \( -2y = -8x + 12 \).

Step2: Solve for y

Divide every term by \( -2 \). So, \( y=\frac{-8x}{-2}+\frac{12}{-2} \), which simplifies to \( y = 4x - 6 \).

Answer:

B. \( y = 4x - 6 \)