Answer
$\color{blue}{-\dfrac{21}{5}}$.
Work Step by Step
Distribute $3$ then combine like terms:
$3(y) -3(5)-8y=6
\\3y-15-8y=6
\\(3y-8y)-15=6
\\-5y-15=6$
Add $15$ to both sides of the equation:
$-5y-15+15=6+15
\\-5y=21$
Divide $-5$ to both sides of the equation:
$\frac{-5y}{-5}=\frac{21}{-5}
\\y=-\frac{21}{5}$
Check:
$3(y-5)-8y=6
\\3(-\frac{21}{5}-5)-8(-\frac{21}{5})=6
\\-\frac{63}{5}-15-(-\frac{168}{5})=6
\\-\frac{63}{5}-15+\frac{168}{5}=6
\\\frac{105}{5}-15=6
\\21-15=6
\\6=6$
Therefore, the solution to the given equation is $\color{blue}{-\dfrac{21}{5}}$.
