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z-x+y-\left(-x-\left(-1\right)+2z+3y\right)
To find the opposite of x-1, find the opposite of each term.
z-x+y-\left(-x+1+2z+3y\right)
The opposite of -1 is 1.
z-x+y-\left(-x\right)-1-2z-3y
To find the opposite of -x+1+2z+3y, find the opposite of each term.
z-x+y+x-1-2z-3y
The opposite of -x is x.
z+y-1-2z-3y
Combine -x and x to get 0.
-z+y-1-3y
Combine z and -2z to get -z.
-z-2y-1
Combine y and -3y to get -2y.
z-x+y-\left(-x-\left(-1\right)+2z+3y\right)
To find the opposite of x-1, find the opposite of each term.
z-x+y-\left(-x+1+2z+3y\right)
The opposite of -1 is 1.
z-x+y-\left(-x\right)-1-2z-3y
To find the opposite of -x+1+2z+3y, find the opposite of each term.
z-x+y+x-1-2z-3y
The opposite of -x is x.
z+y-1-2z-3y
Combine -x and x to get 0.
-z+y-1-3y
Combine z and -2z to get -z.
-z-2y-1
Combine y and -3y to get -2y.