Solve for y: 1/2y + 3 = 7.

To solve the equation ( \frac{1}{2}y + 3 = 7 ), start by isolating the term with ( y ). Subtract 3 from both sides of the equation:

[

\frac{1}{2}y + 3 - 3 = 7 - 3

]

[

\frac{1}{2}y = 4

]

Next, to eliminate the fraction, multiply both sides by 2:

[

2 \cdot \frac{1}{2}y = 4 \cdot 2

]

[

y = 8

]

Thus, the solution for ( y ) is 8, which confirms that the correct answer is indeed 8. When you perform these operations step by step, you're effectively isolating ( y ) and solving for its value.