Answer:
y = 4
Explanation:
The perimeter of a polygon is the distance around the polygon. This can be found by adding up all of the side lengths. In this problem, one is given an expression for the perimeter and an expression for each side length. Using the formula for the perimeter, one can substitute in all of the given expressions and solve for the vairable.
(4y + 5) + (3y + 2) + (4y + 5) + (3y + 2) = 58 + 3y
Simplify,
4y + 5 + 3y + 2 + 4y + 5 + 3y + 2 = 58 + 3y
14y + 14 = 58 + 3y
Inverse operations,
14y + 14 = 58 + 3y
-3y -3y
11y + 14 = 58
-14 -14
11y = 44
/11 /11
y = 4