there are many standard forms
there is ax+by=z or slope-intercept form which is y=mx+b
I will do both
first distribute the -5
y+7=-5x-15
add 5x to both sides
5x+y+7=-15
subtract 7 from both sides
5x+y=-22
or slope-intercpt form
distribute -5
y+7=-5x-15
subtract 7 from both sides
y=-5x-22