Question

Solve the following equation: 3(y – 2) = 2(y – 1) – 3.

Answer 1

Answer:

$3(y - 2) = 2(y - 1) - 3 \\ \\ = > 3y - 6 = 2y - 2 - 3 \\ \\ \\ = > 3y - 2y = - 5 + 6 \\ \\ \\ = > y = 1$

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Answer 2

The solution of the given equation is y = 1.

Given,

Equation:

$3(y-2)=2(y-1)-3.$

To find,

Solution of the given equation.

Solution,

It can be seen that the given equation here, is

$3(y-2)=2(y-1)-3 \hfill ...(1)$

Now, the above equation can be solved by simply expanding the brackets and simplifying the obtained equation.

So from (1), on expanding, we have,

$3y-(3 \times 2)=2y - (2 \times 1) - 3$

Simplifying,

$3y-6=2y-2-3$

Rearranging, by taking the terms with variables on the same side, we get,

$\implies 3y-2y=6-2-3$

$\implies y=6-5=1$

⇒ y = 1.

⇒ Solution of the equation: y = 1.

Therefore, the solution of the given equation is y = 1.

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