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y+5=-x-3
To find the opposite of x+3, find the opposite of each term.
-x-3=y+5
Swap sides so that all variable terms are on the left hand side.
-x=y+5+3
Add 3 to both sides.
-x=y+8
Add 5 and 3 to get 8.
\frac{-x}{-1}=\frac{y+8}{-1}
Divide both sides by -1.
x=\frac{y+8}{-1}
Dividing by -1 undoes the multiplication by -1.
x=-\left(y+8\right)
Divide y+8 by -1.
y+5=-x-3
To find the opposite of x+3, find the opposite of each term.
y=-x-3-5
Subtract 5 from both sides.
y=-x-8
Subtract 5 from -3 to get -8.