Solve for x
x=4y+1
Solve for y
y=\frac{x-1}{4}
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\frac{1}{4}x-\frac{1}{4}=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{4}x=y+\frac{1}{4}
Add \frac{1}{4} to both sides.
\frac{\frac{1}{4}x}{\frac{1}{4}}=\frac{y+\frac{1}{4}}{\frac{1}{4}}
Multiply both sides by 4.
x=\frac{y+\frac{1}{4}}{\frac{1}{4}}
Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.
x=4y+1
Divide y+\frac{1}{4} by \frac{1}{4} by multiplying y+\frac{1}{4} by the reciprocal of \frac{1}{4}.
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