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63x=40y+1
The equation is in standard form.
\frac{63x}{63}=\frac{40y+1}{63}
Divide both sides by 63.
x=\frac{40y+1}{63}
Dividing by 63 undoes the multiplication by 63.
40y+1=63x
Swap sides so that all variable terms are on the left hand side.
40y=63x-1
Subtract 1 from both sides.
\frac{40y}{40}=\frac{63x-1}{40}
Divide both sides by 40.
y=\frac{63x-1}{40}
Dividing by 40 undoes the multiplication by 40.