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3x+y+2y
Combine \frac{1}{2}x and \frac{5}{2}x to get 3x.
3x+3y
Combine y and 2y to get 3y.
\frac{x+2y+5x+4y}{2}
Factor out \frac{1}{2}.
6x+6y
Consider x+2y+5x+4y. Multiply and combine like terms.
6\left(x+y\right)
Consider 6x+6y. Factor out 6.
3\left(x+y\right)
Rewrite the complete factored expression.