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The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below:Step 1: 2(y + 6) = 4yStep 2: 2y + 8 = 4yStep 3: 2y = 8Step 4: y = 4Which of the following explains how to correct Step 2 and shows the correct value of y? 2 should be distributed as 2y + 12; y = 62 should be distributed as 2y + 12; y = 3The equation should be y + 6 = 4y after division by 2; y = 2The equation should be y + 6 = 4y after division by 2; y = 1



Answer :

Solution:

Given the equation;

[tex]2(y+6)=4y[/tex]

Now, distribute 2;

[tex]\begin{gathered} 2(y)+2(6)=4y \\ \\ 2y+12=4y \end{gathered}[/tex]

Then, step 3;

[tex]\begin{gathered} 12=4y-2y \\ \\ 2y=12 \end{gathered}[/tex]

Divide both sides by 2;

[tex]\begin{gathered} \frac{2y}{2}=\frac{12}{2} \\ \\ y=6 \end{gathered}[/tex]

CORRECT OPTION: 2 should be distributed as 2y + 12; y = 6

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