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x+y+3=1
Square both sides of the equation.
x+y+3-\left(y+3\right)=1-\left(y+3\right)
Subtract y+3 from both sides of the equation.
x=1-\left(y+3\right)
Subtracting y+3 from itself leaves 0.
x=-y-2
Subtract y+3 from 1.
y+x+3=1
Square both sides of the equation.
y+x+3-\left(x+3\right)=1-\left(x+3\right)
Subtract x+3 from both sides of the equation.
y=1-\left(x+3\right)
Subtracting x+3 from itself leaves 0.
y=-x-2
Subtract x+3 from 1.