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56x=m-64y
Subtract 64y from both sides.
\frac{56x}{56}=\frac{m-64y}{56}
Divide both sides by 56.
x=\frac{m-64y}{56}
Dividing by 56 undoes the multiplication by 56.
x=\frac{m}{56}-\frac{8y}{7}
Divide m-64y by 56.
m=56x+64y
Swap sides so that all variable terms are on the left hand side.