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4.8x=\frac{6y+18}{5}
The equation is in standard form.
\frac{4.8x}{4.8}=\frac{6y+18}{4.8\times 5}
Divide both sides of the equation by 4.8, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{6y+18}{4.8\times 5}
Dividing by 4.8 undoes the multiplication by 4.8.
x=\frac{y+3}{4}
Divide \frac{6y+18}{5} by 4.8 by multiplying \frac{6y+18}{5} by the reciprocal of 4.8.
1.2y+3.6=4.8x
Swap sides so that all variable terms are on the left hand side.
1.2y=4.8x-3.6
Subtract 3.6 from both sides.
1.2y=\frac{24x-18}{5}
The equation is in standard form.
\frac{1.2y}{1.2}=\frac{24x-18}{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{24x-18}{1.2\times 5}
Dividing by 1.2 undoes the multiplication by 1.2.
y=4x-3
Divide \frac{24x-18}{5} by 1.2 by multiplying \frac{24x-18}{5} by the reciprocal of 1.2.