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45x=5y-10
Swap sides so that all variable terms are on the left hand side.
\frac{45x}{45}=\frac{5y-10}{45}
Divide both sides by 45.
x=\frac{5y-10}{45}
Dividing by 45 undoes the multiplication by 45.
x=\frac{y-2}{9}
Divide -10+5y by 45.
5y=45x+10
Add 10 to both sides.
\frac{5y}{5}=\frac{45x+10}{5}
Divide both sides by 5.
y=\frac{45x+10}{5}
Dividing by 5 undoes the multiplication by 5.
y=9x+2
Divide 45x+10 by 5.