It looks like the equation you've given may need some clarification. It seems to combine various operations in an unclear way. Let's break it down to understand it better.
- 3+4y*: This part is ambiguous. If you meant \(3 + 4y\), that would make sense as an algebraic expression.
- 5/2-5*: This could be interpreted in several ways. It likely means \(\frac{5}{2} \times -5\). This simplifies to \(-\frac{25}{2}\).
- =12: This is the end of an equation.
If we summarize this, you might want to create an equation that looks something like:
\[ 3 + 4y = -\frac{25}{2} + 12 \]
Let's calculate the right side:
\[ 12 = \frac{24}{2} \] So combining, we have:
\[ -\frac{25}{2} + \frac{24}{2} = -\frac{1}{2} \]
Thus, the equation now reads:
\[ 3 + 4y = -\frac{1}{2} \]
Now, we can solve for \(y\):
- Subtract 3 from both sides:
\[ 4y = -\frac{1}{2} - 3 \]
Convert 3 to have a common denominator:
\[ 3 = \frac{6}{2} \]
So we continue:
\[ 4y = -\frac{1}{2} - \frac{6}{2} = -\frac{7}{2} \]
- Divide both sides by 4:
\[ y = -\frac{7}{2} \div 4 = -\frac{7}{2} \times \frac{1}{4} = -\frac{7}{8} \]
Thus, the solution for \(y\) is:
\[ y = -\frac{7}{8} \]
If your equation intended something different, please clarify!