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-100x=12y-840000
Subtract 840000 from both sides.
\frac{-100x}{-100}=\frac{12y-840000}{-100}
Divide both sides by -100.
x=\frac{12y-840000}{-100}
Dividing by -100 undoes the multiplication by -100.
x=-\frac{3y}{25}+8400
Divide -840000+12y by -100.
12y=840000-100x
Swap sides so that all variable terms are on the left hand side.
\frac{12y}{12}=\frac{840000-100x}{12}
Divide both sides by 12.
y=\frac{840000-100x}{12}
Dividing by 12 undoes the multiplication by 12.
y=-\frac{25x}{3}+70000
Divide 840000-100x by 12.