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2\left(3-2x\right)-\left(1-4\times \frac{3-5y}{2}\right)
Cancel out 5, the greatest common factor in 10 and 5.
6-4x-\left(1-4\times \frac{3-5y}{2}\right)
Use the distributive property to multiply 2 by 3-2x.
6-4x-\left(1-2\left(3-5y\right)\right)
Cancel out 2, the greatest common factor in 4 and 2.
6-4x-\left(1-6+10y\right)
Use the distributive property to multiply -2 by 3-5y.
6-4x-\left(-5+10y\right)
Subtract 6 from 1 to get -5.
6-4x-\left(-5\right)-10y
To find the opposite of -5+10y, find the opposite of each term.
6-4x+5-10y
The opposite of -5 is 5.
11-4x-10y
Add 6 and 5 to get 11.
2\left(3-2x\right)-\left(1-4\times \frac{3-5y}{2}\right)
Cancel out 5, the greatest common factor in 10 and 5.
6-4x-\left(1-4\times \frac{3-5y}{2}\right)
Use the distributive property to multiply 2 by 3-2x.
6-4x-\left(1-2\left(3-5y\right)\right)
Cancel out 2, the greatest common factor in 4 and 2.
6-4x-\left(1-6+10y\right)
Use the distributive property to multiply -2 by 3-5y.
6-4x-\left(-5+10y\right)
Subtract 6 from 1 to get -5.
6-4x-\left(-5\right)-10y
To find the opposite of -5+10y, find the opposite of each term.
6-4x+5-10y
The opposite of -5 is 5.
11-4x-10y
Add 6 and 5 to get 11.