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\frac{-7\times 4}{12y^{2}}+\frac{5\times 3y}{12y^{2}}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3y^{2} and 4y is 12y^{2}. Multiply \frac{-7}{3y^{2}} times \frac{4}{4}. Multiply \frac{5}{4y} times \frac{3y}{3y}.
\frac{-7\times 4+5\times 3y}{12y^{2}}
Since \frac{-7\times 4}{12y^{2}} and \frac{5\times 3y}{12y^{2}} have the same denominator, add them by adding their numerators.
\frac{-28+15y}{12y^{2}}
Do the multiplications in -7\times 4+5\times 3y.