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y-1=7x-14
Use the distributive property to multiply 7 by x-2.
7x-14=y-1
Swap sides so that all variable terms are on the left hand side.
7x=y-1+14
Add 14 to both sides.
7x=y+13
Add -1 and 14 to get 13.
\frac{7x}{7}=\frac{y+13}{7}
Divide both sides by 7.
x=\frac{y+13}{7}
Dividing by 7 undoes the multiplication by 7.
y-1=7x-14
Use the distributive property to multiply 7 by x-2.
y=7x-14+1
Add 1 to both sides.
y=7x-13
Add -14 and 1 to get -13.