Answer
$y=8$
Work Step by Step
$4y+9=7y-15$
$4y+9-4y=7y-15-4y\longrightarrow$ subtract 4y from both sides
$9=3y-15$
$9+15=3y-15+15\longrightarrow$ add 15 to both sides
$24=3y$
$24\div3=3y\div3\longrightarrow$ divide both sides by 3
$8=y$
To check, substitute the value for y and see of the result is true.
$4(8)+9=7(8)-15$
$32+9=56-15$
$41=41\checkmark$
