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55x=44y-55
Swap sides so that all variable terms are on the left hand side.
\frac{55x}{55}=\frac{44y-55}{55}
Divide both sides by 55.
x=\frac{44y-55}{55}
Dividing by 55 undoes the multiplication by 55.
x=\frac{4y}{5}-1
Divide 44y-55 by 55.
44y=55x+55
Add 55 to both sides.
\frac{44y}{44}=\frac{55x+55}{44}
Divide both sides by 44.
y=\frac{55x+55}{44}
Dividing by 44 undoes the multiplication by 44.
y=\frac{5x+5}{4}
Divide 55+55x by 44.