Answer:
The value of y in the given equation is 3.
Step-by-step explanation:
Hey there!
Part 1 - Using the Distributive Property
To use the distributive property, we need to understand the formula to use it. This formula will ensure that you can easily solve any equation.
The distributive property is A(B + C) = AB + AC, where AB is the product of the values A and B and AC is the product of the values A and C.
First, let's notice that we are distributing a 2 into the parentheses, so we will mark this as our A value.
Then, our two values inside the parentheses are B and C respectfully.
Now, we can apply the formula.
[tex]2(8 + y) = (2 \times 8) + (2 \times y)[/tex]
This can be further simplified using basic algebraic techniques. Simply find the products of 2 × 8 and 2 × y, and then add them together.
[tex]2(8 + y) = 16 + 2y[/tex]
Since 16 and 2y are not like terms, they cannot be added together. Therefore, we can no further simplify.
Part 2 - Solving for Y
Now, we will replace the 2(8 + y) with our new distributed work:
[tex]16 + 2y = 22[/tex]
Now, we can solve the equation for y.
First, rearrange the equation so the term with the y-variable is the leading term.
[tex]2y + 16 = 22[/tex]
Now, we want to get the y-variable by itself, so we will subtract 16 from both sides of the equation.
[tex]2y = 6[/tex]
Finally, to get y by itself, we can divide by its coefficient of 2 on both sides of the equation.
[tex]y = 3[/tex]
Therefore, y is equal to 3.
Learn more about the distributive property and solving equations in one variable here: https://brainly.com/question/17139226
