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4.3x-0.7=y
Swap sides so that all variable terms are on the left hand side.
4.3x=y+0.7
Add 0.7 to both sides.
\frac{4.3x}{4.3}=\frac{y+0.7}{4.3}
Divide both sides of the equation by 4.3, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y+0.7}{4.3}
Dividing by 4.3 undoes the multiplication by 4.3.
x=\frac{10y+7}{43}
Divide y+0.7 by 4.3 by multiplying y+0.7 by the reciprocal of 4.3.