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38x-228=7y
Use the distributive property to multiply x-6 by 38.
38x=7y+228
Add 228 to both sides.
\frac{38x}{38}=\frac{7y+228}{38}
Divide both sides by 38.
x=\frac{7y+228}{38}
Dividing by 38 undoes the multiplication by 38.
x=\frac{7y}{38}+6
Divide 7y+228 by 38.
38x-228=7y
Use the distributive property to multiply x-6 by 38.
7y=38x-228
Swap sides so that all variable terms are on the left hand side.
\frac{7y}{7}=\frac{38x-228}{7}
Divide both sides by 7.
y=\frac{38x-228}{7}
Dividing by 7 undoes the multiplication by 7.