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y+1=-2\left(x-6\right)
The opposite of -1 is 1.
y+1=-2x+12
Use the distributive property to multiply -2 by x-6.
-2x+12=y+1
Swap sides so that all variable terms are on the left hand side.
-2x=y+1-12
Subtract 12 from both sides.
-2x=y-11
Subtract 12 from 1 to get -11.
\frac{-2x}{-2}=\frac{y-11}{-2}
Divide both sides by -2.
x=\frac{y-11}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{11-y}{2}
Divide y-11 by -2.
y+1=-2\left(x-6\right)
The opposite of -1 is 1.
y+1=-2x+12
Use the distributive property to multiply -2 by x-6.
y=-2x+12-1
Subtract 1 from both sides.
y=-2x+11
Subtract 1 from 12 to get 11.