Which expression represents the algebraic phrase "twelve times the sum of a number and seven-tenths"? \( 12 y+\frac{7}{10} \) \( 12\left(y+\frac{7}{10}\right) \) \( \frac{7}{10} y+12 \) \( y\left(\frac{7}{10}+12\right) \)

The algebraic phrase "twelve times the sum of a number and seven-tenths" can be translated into the expression \( 12\left(y+\frac{7}{10}\right) \). This shows that you first add the number \( y \) to \( \frac{7}{10} \), and then multiply that sum by twelve. It's essential to read phrases carefully. The word "times" indicates multiplication, while "sum" implies addition. A common mistake is to misinterpret the phrase as merely multiplying the number by twelve separately from the seven-tenths. Keeping track of operations can save a lot of headaches later on!