Question

solve $6x - 2y = 10$ for $y$. \
\
\bigcirc a. $y = -6x + 10$ \
\
\bigcirc b. $y = 3x - 10$ \
\
\bigcirc c. $y = 6x + 5$ \
\
\bigcirc d. $y = 3x - 5$

Explanation:

Step1: Isolate the $y$-term

Subtract $6x$ from both sides:
$6x - 2y - 6x = 10 - 6x$
Simplify to get: $-2y = -6x + 10$

Step2: Solve for $y$

Divide all terms by $-2$:
$\frac{-2y}{-2} = \frac{-6x}{-2} + \frac{10}{-2}$
Simplify to get: $y = 3x - 5$

Answer:

D. $y=3x-5$