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5x=y+1
The equation is in standard form.
\frac{5x}{5}=\frac{y+1}{5}
Divide both sides by 5.
x=\frac{y+1}{5}
Dividing by 5 undoes the multiplication by 5.
y+1=5x
Swap sides so that all variable terms are on the left hand side.
y=5x-1
Subtract 1 from both sides.