Given: 15+6(y−2)=21 Prove: y = 3 Drag and drop the reasons into the boxes to correctly complete the proof. Statement Reason 15+6(y−2)=21 Given 15+6y−12=21 6y + 3 = 21 6y = 18 y = 3

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Answer:

Given:  [tex]15+6(y-2)=21[/tex]

Distributive Property tells us that we multiply each term inside the parentheses with the term outside of the parentheses.

[tex]a\cdot(b-c) =a\cdot b -a\cdot c[/tex]

Using distributive property on expression 6(y-2) to solve the further expression as:

[tex]15+6\cdot y - 6\cdot 2=21[/tex]

Simplify:

[tex]15+6y-12 =21[/tex]

Subtract the number 12 from 15 we get 3;

therefore, the expression become:

[tex]6y+3=21[/tex]

Subtraction property of equality tells us that subtract the same number from both sides of an equation.

Now, subtract 3 from both the sides we get;

[tex]6y+3-3=21-3[/tex]

Simplify:

[tex]6y=18[/tex]

Now, divide by 6 on both the sides we get;

[tex]\frac{6y}{6}= \frac{18}{6}[/tex]

On simplify we get;

y =3           Hence Proved!





Answer:

y =3  should be the correct answer

Step-by-step explanation: