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5Y+3=6x
Swap sides so that all variable terms are on the left hand side.
5Y=6x-3
Subtract 3 from both sides.
\frac{5Y}{5}=\frac{6x-3}{5}
Divide both sides by 5.
Y=\frac{6x-3}{5}
Dividing by 5 undoes the multiplication by 5.
6x=5Y+3
The equation is in standard form.
\frac{6x}{6}=\frac{5Y+3}{6}
Divide both sides by 6.
x=\frac{5Y+3}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{5Y}{6}+\frac{1}{2}
Divide 5Y+3 by 6.