\(2y+3=\frac{-1}{3}\times(x-2)\)
\(2y+3=-\frac{1}{3}\times(x-2)\)
\(3(2y+3)=3(-\frac{1}{3}\times(x-2))\)
\(6y+9=3(-\frac{1}{3}\times(x-2))\)
\(6y+9=-1(x-2)\)
\(6y+9=-(x-2)\)
\(6y+9=-x+2\)
\(6y+9-9=-x+2-9\)
\(6y+0=-x+2-9\)
\(6y=-x+2-9\)
\(6y=-x-7\)
\(6y+x=-x-7+x\)
\(6y+x=-7+0\)
\(6y+x=-7\)
\(x+6y=-7\)
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