Answer
$y=2.5$
Work Step by Step
$6(y-2)=8-2y\longrightarrow$ multiply using the distributive property
$6y-12=8-2y\longrightarrow$ add 12 to each side; add 2y to each side
$6y-12+12+2y=8-2y+12+2y\longrightarrow$ combine like terms
$8y=20\longrightarrow$ divide each side by 8
$8y\div 8=20\div8$
$y=2.5$
When we plug our solution back into the equation, we find that each side of the equation is equal, making our answer correct.
