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