Answer
-13$y^{2}$+y
Work Step by Step
The phrase, "Subtract (8$y^{2}$-$\frac{7}{10}$y) from (-5$y^{2}$+$\frac{3}{10}$y)." can be translated to the expression: (-5$y^{2}$+$\frac{3}{10}$y)-(8$y^{2}$-$\frac{7}{10}$y)
Simplify:
(-5$y^{2}$+$\frac{3}{10}$y)-(8$y^{2}$-$\frac{7}{10}$y)
=-5$y^{2}$+$\frac{3}{10}$y-8$y^{2}$+$\frac{7}{10}$y
=-5$y^{2}$-8$y^{2}$+$\frac{3}{10}$y+$\frac{7}{10}$y
=-13$y^{2}$+$\frac{10}{10}$y
=-13$y^{2}$+y