Final answer:
To translate the sentence into an algebraic expression, we can break it down into smaller parts and combine them. The expression is (5/6)y + (1/4)g - 7.
Step-by-step explanation:
To translate the given sentence into an algebraic expression, we can break it down into smaller parts. We have 'five-sixths of y', which is represented by the expression (5/6)y, and 'one-fourth of g', which is represented by (1/4)g. The sentence asks for the sum of these two expressions, so we can combine them by adding them together. The expression becomes (5/6)y + (1/4)g. Finally, we subtract 7 from this sum, giving us the full algebraic expression: (5/6)y + (1/4)g - 7. Therefore, the correct answer is option a. 5/6y + 1/4g - 7.