Answer:
y=15
Explanation:
The two angles are congruent, so we can set them equal to each other.
5y-3=3y+27
Now we have to solve for y. To do this, we have to get y by itself. First, we need to move all the variables to one side, and all the constants to the other side.
Add 3 to both sides.
5y-3+3=3y+27=3
5y=3y+30
Subtract 3y from both sides
5y-3y=3y-3y+30
2y=30
Now, all the variables are on one side and the constants are on the other. y is still not by itself, it is being multiplied by 2. So, divide both sides by 2.
2y/2=30/2
y=15
We can check by plugging 15 in for y in the 2 expressions.
5y-3
5(15)-3
75-3
72
3y+27
3(15)+27
45+27
72