Answer:
[tex] 14y + 9 [/tex]
Step-by-step explanation:
Perimeter of the given triangular above = sum of all its sides.
[tex] = (y + 9) + 2y + (4y - 1) = y + 9 + 2y + 4y -1 [/tex]
Collect like terms
[tex] = y + 2y + 4y + 9 - 1 [/tex]
[tex] = 7y + 8 [/tex]
If Bob creates a new triangle that is 7 less than twice of the perimeter of the triangle above, the expression of the new triangle would be:
[tex] 2(7y + 8) - 7 [/tex]
Simplify
[tex] 2*7y + 2*8 - 7 [/tex]
[tex] 14y + 16 - 7 [/tex]
New perimeter = [tex] 14y + 9 [/tex]