Answered

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Solve the equation.

[tex]\[ y - 21 = 8y \][/tex]

The solution is [tex]\[ y = \square \][/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\( y - 21 = 8y \)[/tex], follow these steps:

1. Isolate the variable term: We begin by getting all the terms containing [tex]\(y\)[/tex] on one side of the equation. Subtract [tex]\(y\)[/tex] from both sides:
[tex]\[ y - 21 - y = 8y - y \][/tex]

2. Simplify both sides: On the left side, [tex]\( y - y \)[/tex] cancels out, leaving us with:
[tex]\[ -21 = 7y \][/tex]

3. Solve for [tex]\(y\)[/tex]: To isolate [tex]\(y\)[/tex], divide both sides of the equation by 7:
[tex]\[ \frac{-21}{7} = \frac{7y}{7} \][/tex]

4. Simplify the division:
[tex]\[ -3 = y \][/tex]

Thus, the solution to the equation [tex]\( y - 21 = 8y \)[/tex] is [tex]\( y = -3 \)[/tex].
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