Question

Please help with this question ASAP! Thanks!

Answer 1

Answer:

The equivalent expression is  $8.25\cdot y -14$.

Step-by-step explanation:

Let $4\cdot (1.75\cdot y -3.5)+1.25\cdot y$, we proceed to simplify the expression by like terms and other algebraic operations:

1)  $4\cdot (1.75\cdot y -3.5)+1.25\cdot y$  Given

2) $[1.75\cdot y +(-3.5)]\cdot 4 + 1.25\cdot y$ Commutative property/Definition of subtraction.

3) $(1.75\cdot 4) \cdot y +(-3.5)\cdot 4 + 1.25\cdot y$ Distributive and associative properties.

4) $7\cdot y +(-14)+1.25\cdot y$ Definition of multiplication/$a\cdot (-b) = - a\cdot b$

5) $(7+1.25)\cdot y -14$ Commutative and distributive properties/Definition of subtraction.

6) $8.25\cdot y -14$ Definition of addition/Result

The equivalent expression is  $8.25\cdot y -14$.