#### Answer

y=0

#### Work Step by Step

$3y-6=7y-6$ $\longrightarrow$ isolate like terms on each side of equation
$3y-6+6-3y=7y-6+6-3y$ $\longrightarrow$ combine like terms
$0=4y$ $\longrightarrow$ divide both sides by 4
$0\div4=4y\div4$ $\longrightarrow$ simplify
$0=y$