Question

Please help with this question ASAP! Thanks!

Answer 1

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

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`.