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44x=4y-12
Swap sides so that all variable terms are on the left hand side.
\frac{44x}{44}=\frac{4y-12}{44}
Divide both sides by 44.
x=\frac{4y-12}{44}
Dividing by 44 undoes the multiplication by 44.
x=\frac{y-3}{11}
Divide -12+4y by 44.
4y=44x+12
Add 12 to both sides.
\frac{4y}{4}=\frac{44x+12}{4}
Divide both sides by 4.
y=\frac{44x+12}{4}
Dividing by 4 undoes the multiplication by 4.
y=11x+3
Divide 44x+12 by 4.