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Answer:

The equivalent expression is  [tex]8.25\cdot y -14[/tex].

Step-by-step explanation:

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

1)  [tex]4\cdot (1.75\cdot y -3.5)+1.25\cdot y[/tex]  Given

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

3) [tex](1.75\cdot 4) \cdot y +(-3.5)\cdot 4 + 1.25\cdot y[/tex] Distributive and associative properties.

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

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

6) [tex]8.25\cdot y -14[/tex] Definition of addition/Result

The equivalent expression is  [tex]8.25\cdot y -14[/tex].

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