To simplify the expression \( \frac{3}{10}x + 16y + \frac{3}{10}x + \frac{3}{6}y \), we can combine like terms.
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First, combine the \( x \) terms: \[ \frac{3}{10}x + \frac{3}{10}x = \frac{6}{10}x = \frac{3}{5}x \]
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Next, combine the \( y \) terms:
- Convert \( \frac{3}{6}y \) to a simpler form: \[ \frac{3}{6}y = \frac{1}{2}y \]
- Now we sum \( 16y \) and \( \frac{1}{2}y \). To do this conveniently, we can convert \( 16y \) to a fraction with a denominator of 2: \[ 16y = \frac{32}{2}y \]
- Now we can add the two terms: \[ \frac{32}{2}y + \frac{1}{2}y = \frac{32 + 1}{2}y = \frac{33}{2}y \]
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Putting it all together, we now have: \[ \frac{3}{5}x + \frac{33}{2}y \]
Thus, the simplified expression is: \[ \frac{3}{5}x + \frac{33}{2}y \]