## Elementary Algebra

$y=\dfrac{13}{2}$
Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $7y-3=5y+10 ,$ is \begin{array}{l}\require{cancel} 7y-5y=10+3 \\\\ 2y=13 \\\\ y=\dfrac{13}{2} .\end{array}