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Solve for y
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y=\frac{4x^{2}+6x}{5x}
Combine x and 4x to get 5x.
y=\frac{2x\left(2x+3\right)}{5x}
Factor the expressions that are not already factored in \frac{4x^{2}+6x}{5x}.
y=\frac{2\left(2x+3\right)}{5}
Cancel out x in both numerator and denominator.
y=\frac{4x+6}{5}
Use the distributive property to multiply 2 by 2x+3.
y=\frac{4}{5}x+\frac{6}{5}
Divide each term of 4x+6 by 5 to get \frac{4}{5}x+\frac{6}{5}.