Question

How do you solve for $y$ in the equation $2x+2y=10?$

Answer 1

Hint: $2x+2y=10$ is the given equation. Here the solution for the equation is to find the value of the variable of Y. To solve the value of Y, we should change the equation by transferring all the terms to the right-hand side and keeping the variable Y on the left-hand side.

Complete step by step answer:
The given equation is $2x+2y=10$. We need to solve the $y$ in the equation.
In the equation there are two variables. X and y are the two variables in the equation and have the same coefficient. The coefficient value is two. As the constant is there in the equation Solution will be easy.
We need the value of the variable Y.
Now we change the above equation as
$\Rightarrow 2y=10-2x$
Now we divide the whole equation by two.
$\Rightarrow y=\dfrac{10-2x}{2}$
So that the coefficient of variable Y will be one.
The coefficient value will change and the coefficient value of the variable X will be one.
Now the resultant value of the variable Y is
\[\Rightarrow y=5-x\]
Therefore the solution for the equation $2x+2y=10$ is \[y=5-x\]

Note:
in the algebraic equation the sum of terms on one side that is the left-hand side must be equal to the value or the sum of the terms on the other side that is the right-hand side. In algebraic equations, all operations can be done.
There are some properties for an equation to be an algebraic equation. Those are:
Commutative and Associative Properties. These two properties are for addition and multiplication operations.
Transitive property and the distributive property.
There are also some properties for negative numbers in algebraic.