Respuesta :

The Answer Is:

y = 8


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The value of [tex]y[/tex] is [tex]\boxed{y = 8}.[/tex]

Further explanation:

Use always PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.

Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.

Given:

The expression is [tex]24 = 3y.[/tex]

Explanation:

The distributive property can be expressed as follows,

[tex]\boxed{x \cdot \left( {y + z} \right) = x \cdot y + x \cdot z}[/tex]

The given expression is [tex]24 = 3y.[/tex]

The common factor of 3 and 24 is 3.

Divide the expression [tex]24 = 3y[/tex] by 3 to obtain the value of [tex]y[/tex].

[tex]\begin{aligned}\frac{{24}}{3}&= \frac{{3y}}{3}\\\frac{{24}}{3} &= y\\8 &= y\\\end{aligned}[/tex]

The value of [tex]y[/tex] is [tex]\boxed{y = 8}.[/tex]

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Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Linear equation

Keywords: expression, equivalent, one below, 24=3y, exponents, addition, powers, associative property, distributive property.