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4.2x=16.8+2y
Add 2y to both sides.
4.2x=2y+16.8
The equation is in standard form.
\frac{4.2x}{4.2}=\frac{2y+16.8}{4.2}
Divide both sides of the equation by 4.2, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{2y+16.8}{4.2}
Dividing by 4.2 undoes the multiplication by 4.2.
x=\frac{10y}{21}+4
Divide 16.8+2y by 4.2 by multiplying 16.8+2y by the reciprocal of 4.2.
-2y=16.8-4.2x
Subtract 4.2x from both sides.
-2y=\frac{84-21x}{5}
The equation is in standard form.
\frac{-2y}{-2}=\frac{84-21x}{-2\times 5}
Divide both sides by -2.
y=\frac{84-21x}{-2\times 5}
Dividing by -2 undoes the multiplication by -2.
y=\frac{21x}{10}-\frac{42}{5}
Divide \frac{84-21x}{5} by -2.