
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Define the operation “$\diamond$” by $x \diamond y = 5x - 2y + 2xy$, for all real numbers $x$ and $y$. Determine the value of $y$ if $4 \diamond y = 30$.
A) $\frac{3}{5}$
B) $\frac{5}{3}$
C) $\frac{4}{7}$
D) $\frac{7}{4}$
E) No solution

Present the answer in LaTex format: \boxed{Your answer}
user