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\frac{2\left(x+y\right)}{2}+\frac{\pi }{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply x+y times \frac{2}{2}.
\frac{2\left(x+y\right)+\pi }{2}
Since \frac{2\left(x+y\right)}{2} and \frac{\pi }{2} have the same denominator, add them by adding their numerators.
\frac{2x+2y+\pi }{2}
Do the multiplications in 2\left(x+y\right)+\pi .
\frac{2x+2y+\pi }{2}
Factor out \frac{1}{2}.