To solve for \( y \) in the equation \( 17y - 6 = 10y + 15 \), follow these steps:
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Start by isolating the variable \( y \). Subtract \( 10y \) from both sides of the equation:
\[ 17y - 10y - 6 = 15 \]
This simplifies to:
\[ 7y - 6 = 15 \]
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Next, add 6 to both sides of the equation to isolate the term with \( y \):
\[ 7y - 6 + 6 = 15 + 6 \]
This simplifies to:
\[ 7y = 21 \]
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Finally, divide both sides by 7 to solve for \( y \):
\[ y = \frac{21}{7} \]
This simplifies to:
\[ y = 3 \]
Thus, the solution is \( y = 3 \).
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