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10x-30=y-5
Swap sides so that all variable terms are on the left hand side.
10x=y-5+30
Add 30 to both sides.
10x=y+25
Add -5 and 30 to get 25.
\frac{10x}{10}=\frac{y+25}{10}
Divide both sides by 10.
x=\frac{y+25}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{y}{10}+\frac{5}{2}
Divide y+25 by 10.
y=10x-30+5
Add 5 to both sides.
y=10x-25
Add -30 and 5 to get -25.