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0.7x+1.16=y
Swap sides so that all variable terms are on the left hand side.
0.7x=y-1.16
Subtract 1.16 from both sides.
\frac{0.7x}{0.7}=\frac{y-1.16}{0.7}
Divide both sides of the equation by 0.7, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-1.16}{0.7}
Dividing by 0.7 undoes the multiplication by 0.7.
x=\frac{10y}{7}-\frac{58}{35}
Divide y-1.16 by 0.7 by multiplying y-1.16 by the reciprocal of 0.7.