## Elementary Algebra

$y=-\dfrac{5}{2}$
We first use the distributive property to simplify. Then, using the properties of equality, we obtain that the value of the variable that satisfies the given equation, $5(y-2)+2(y+1)=3(y-6) ,$ is \begin{array}{l}\require{cancel} 5y-10+2y+2=3y-18 \\\\ 5y+2y-3y=-18+10-2 \\\\ 4y=-10 \\\\ y=-\dfrac{10}{4} \\\\ y=-\dfrac{\cancel{2}\cdot5}{\cancel{2}\cdot2} \\\\ y=-\dfrac{5}{2} .\end{array}