To solve the equation \(-15y + 3 = -7\), follow these steps:
Step 1: Isolate the term with y.
Subtract 3 from both sides:
\[-15y + 3 - 3 = -7 - 3\]
This simplifies to:
\[-15y = -10\]
Step 2: Solve for y.
Now divide both sides by -15:
\[y = \frac{-10}{-15}\]
This simplifies to:
\[y = \frac{10}{15}\]
Which can be further simplified to:
\[y = \frac{2}{3}\]
Solution:
\(y = \frac{2}{3}\)