Question

How do you simplify $y+3y-2y$ ?

Answer 1

Hint: We can simplify the above question by knowing some basic properties of addition and subtraction. From the question it had been given that, $y+3y-2y$ . We can clearly observe that the given expression contains the same variable but different coefficients. When the variable is the same and the coefficients of the expression are different then we can simply find the addition of the given expression by adding the coefficients. And when the variable is same and the coefficients of the given expression are different then we can simply find the subtraction of the given expression by subtraction of the coefficients.

Complete step by step answer:
Now, from the question given the expression to be simplified is $y+3y-2y$
When we observe the first two terms, the variable is the same and the coefficients are different.
As we have already discussed above, if the variable is same and coefficients are different, we have to simply add the coefficients.
By using the above written property, we get $y+3y-2y=4y-2y$
Now, we can clearly observe that the expression is now containing just two terms and those two terms also contain the same variable but different coefficients.
As we have already discussed above, if the variable is the same and the coefficient is different, we can do the subtraction by simply subtracting the coefficients.
By using the above property, we get, $4y-2y=2y$
Therefore $y+3y-2y=2y$
Hence it is simplified.

Note:
We should be well known about the basic properties of addition and subtraction. We should be well known about the properties when the variable is same and coefficients are different, and when the coefficients are same and variables are different. We should also do the calculation part very carefully. Similarly we can simplify this type of equation like $x+3x=4x$ .