Line r and m are parallel. Find the value of y.

y=8

Step-by-step explanation:

the angle that is equal to 10x-3 and the angle that is equal to 7x+45 are equal to each other because they are corresponding angles so we setup an equation which would be

10x-3=7x+45

step 1

add 3 to each side

-3+3 = they cancel out

45+3=48

now we have

10x=7x+48

step 2

subtract each side by 7x

7x-7x cancels out

10x-7x=3x

3x=48

step 3

divide each side by 3

3/3 cancels out

48/3=16

so x =16

now we plug it into to 10x+3

10x16=160 160-3= 157

so the angle that is equal to 157 and the one that is equal to 3-y are supplementary angles so they will add up to equal 180 so to solve y we setup the equation which would be

180=157+3y-1

step 1 combine like terms

157-1=156

180=156+3y

step 2 subtract each side by 156

156-156 cancels out

180-156=24

so now we have

24=3y

next we divide each side by 3

3/3 cancels out

24/3=8

y=8

hope this makes sense :D