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4x-10=y+13
Swap sides so that all variable terms are on the left hand side.
4x=y+13+10
Add 10 to both sides.
4x=y+23
Add 13 and 10 to get 23.
\frac{4x}{4}=\frac{y+23}{4}
Divide both sides by 4.
x=\frac{y+23}{4}
Dividing by 4 undoes the multiplication by 4.
y=4x-10-13
Subtract 13 from both sides.
y=4x-23
Subtract 13 from -10 to get -23.