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3.2x=\frac{6y}{5}
The equation is in standard form.
\frac{3.2x}{3.2}=\frac{6y}{3.2\times 5}
Divide both sides of the equation by 3.2, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{6y}{3.2\times 5}
Dividing by 3.2 undoes the multiplication by 3.2.
x=\frac{3y}{8}
Divide \frac{6y}{5} by 3.2 by multiplying \frac{6y}{5} by the reciprocal of 3.2.
1.2y=3.2x
Swap sides so that all variable terms are on the left hand side.
1.2y=\frac{16x}{5}
The equation is in standard form.
\frac{1.2y}{1.2}=\frac{16x}{1.2\times 5}
Divide both sides of the equation by 1.2, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{16x}{1.2\times 5}
Dividing by 1.2 undoes the multiplication by 1.2.
y=\frac{8x}{3}
Divide \frac{16x}{5} by 1.2 by multiplying \frac{16x}{5} by the reciprocal of 1.2.