Question

How do you solve 4y + 228 = 352?

Answer 1

Hint: To solve the given linear equation we will first separate all the variables and constants. Here y is the variable hence we will keep it on LHS. Now we will transpose the terms 228 on RHS and simplify the equation by dividing the whole equation by coefficient of y. Hence, we will get the value of y.

Complete step-by-step solution:
Now consider the given equation 4y + 228 = 352.
This is a linear equation in one variable.
To solve this equation we will first transpose the term 228 to RHS.
Now note that since we are taking the term on the opposite side of equal to sign we will change the sign of the term. Hence our equation becomes 4y = 352 – 228.
Now let us subtract the terms on RHS Hence we get, 4y = 124.
Here we have the coefficient of y as 4 hence let us divide the whole equation by 4.
Hence we get,
\[\Rightarrow y=\dfrac{124}{4}\]
Hence on division we get y = 31.
Hence the solution of the equation is y = 31.

Note: Note that when transposing the term from one side to another the sign of the term changes hence positive terms become negative and negative terms become positive. Also always check the answer obtained by substituting it in the given equation. For example here we got the solution as y = 31. If we substitute y = 31 in 4y + 128 = 352, we get LHS = RHS. Hence the solution is correct.