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What value of $y$ is a solution to this equation? $\newline$ $8y = 96$ $\newline$ Choices: $\newline$ (A) $y = 10$ $\newline$ (B) $y = 12$

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Which x satisfies an equation?

Full solution

Q. What value of

y

is a solution to this equation?

\newline

8y = 96

\newline

Choices:

\newline

(A)

y = 10

\newline

(B)

y = 12

Identify Operation: Identify the operation needed to solve for $y$ . The equation is $8y = 96$ , which means $8$ times some number $y$ equals $96$ . To find the value of $y$ , we need to perform the inverse operation of multiplication, which is division.
Divide to Isolate y: Divide both sides of the equation by $8$ to isolate $y$ . To solve for $y$ , we divide both sides of the equation by $8$ : $\frac{8y}{8} = \frac{96}{8}$ This simplifies to: $y = 12$
Check Solution: Check the solution by substituting the value of $y$ back into the original equation. $\newline$ Substitute $y = 12$ into the original equation: $\newline$ $8 \times 12 = 96$ $\newline$ This simplifies to: $\newline$ $96 = 96$ $\newline$ Since both sides of the equation are equal, the solution $y = 12$ is correct.

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