Question

23-3(4-1)= 14-8(4-y)​

Answer 1

$\bf\purple{QuestioN:-}$

23 - 3 (4 - 1) = 14 - 8 (4 - y)​

Find the value of y.

$\bf\green{AnsweR:-}$

As we know,

The order of these opperation are the following;

• Perform all operations within grouping symbols first. Grouping symbols include parentheses ( ), braces { }, brackets [ ], and fraction bars.

• Evaluate exponents and roots of numbers, such as square roots.

• Multiply and Divide, from left to right.

• Add and Subtract, from left to right.

So as per this question, first we can solve the operation within the brackets.

$\bf\longmapsto{23-3(4-1)= 23-3(3)}$

$\bf\longmapsto{23-3(3)=23-3\times3}$

$\bf\longmapsto{23-9=14}$

As per the given condition,

$\bf\longmapsto{23-3(4-1)= 14-8(4-y)}$

We know the value of LHS now.

$\bf\longmapsto{14= 14-8(4-y)}$

$\bf\longmapsto{14=14-8(4-y)=14-(8\times4-8y)}$

$\bf\longmapsto{14=14-(32-8y)}$

On removing brackets,

$\bf\longmapsto{14=14-32+8y}$

$\bf\longmapsto{14=-18+8y}$

$\bf\longmapsto{14+18=8y}$

$\bf\longmapsto{32=8y}$

$\bf\longmapsto{\dfrac{32}{8}=y}$

$\bf\longmapsto{4=y}$

∵ The value of y = 4.

Happy Learning!!