Question

How do you simplify: 6y – 4 +y?

Answer 1

Hint: Assume the given expression as ‘E’. Now, leave the constant term -4 as it is and group the terms containing the variable y together. Take y common from them and use simple arithmetic operations: addition or subtraction, whichever needed, to simplify the expression.

Complete step by step solution:
Here, we have been provided with the expression: 6y – 4 +y and we are asked to simplify it.
Now, let us assume the given expression as E, so we have,
$\Rightarrow $ E = 6y – 4 +y
In the above expression we can see that there are three terms in which two of them contain the variable y and one is a constant, so we have to group the terms containing the variable y together and simplify them while leaving the constant term as it is. So, we have on grouping,
$\Rightarrow $ E = (6y + y) – 4
Taking y common from the terms in the bracket we get,
$\Rightarrow $ E = y (6 + 1) – 4
Therefore, on simplifying we get,
$\Rightarrow $ E = 7y – 4
Hence, the simplified value of the given expression is: 7y – 4 which is our answer.

Note: One may note that actually there are not three terms but only two terms here. One is a constant term -4 and the other is the term containing the variable y. In the initial expression we did not have the simplified expression so we considered that there are three terms. Sometimes you may be asked how many terms are there in the given expression so in such cases first you need to simplify the expression and then conclude the answer.