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1.5x=12-3y
Subtract 3y from both sides.
\frac{1.5x}{1.5}=\frac{12-3y}{1.5}
Divide both sides of the equation by 1.5, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{12-3y}{1.5}
Dividing by 1.5 undoes the multiplication by 1.5.
x=8-2y
Divide 12-3y by 1.5 by multiplying 12-3y by the reciprocal of 1.5.
3y=12-1.5x
Subtract 1.5x from both sides.
3y=-\frac{3x}{2}+12
The equation is in standard form.
\frac{3y}{3}=\frac{-\frac{3x}{2}+12}{3}
Divide both sides by 3.
y=\frac{-\frac{3x}{2}+12}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{x}{2}+4
Divide 12-\frac{3x}{2} by 3.