How To Solve For y

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

SIGN UP FOR A FREE TRIAL




Let’s take an algebraic equation to show the steps to solve for y.

Example 1: - Solve the equation 2 y + 9 = 10 for y.
Solution: -     2 y + 9 = 10    … (1)

 
Instruction Solution
·        Try to free the L.H.S. from the constant.
So subtract 9 to both sides of the equation (1).
(2y + 9) – 9 = 10 – 9
2 y = 1   … (2)
·         Remove the coefficient of y.
Therefore divide both sides by two of equation (2)
2 y / 2 = 1 /2
y = 1 / 2
 
Therefore y = ½
Question 2:- If 4 y + 2 = 6 y – 3, find the value of y.
Solution: - 4 y + 2 = 6 y – 3                        … (1)

 
Instruction Solution
·         Try to free the L.H.S. from the constant.
So subtract 2 to both sides of the equation (1)
(4 y + 2) – 2 = (6 y – 3) – 2
Or, 4 y + 2 – 2 = 6 y – 3 – 2
Or, 4 y = 6 y – 5   … (2)
·         Try to free the R.H.S. from the variable i.e., y.
Therefore subtract 6y to both sides of the equation.
 
4 y – 6y = (6 y – 5) – 6y
-2 y = - 5    … (3)
·        Remove the coefficient of y.
Therefore divide both sides by - 2 of equation (3)
 
-2y / - 2 = - 5 / - 2
y = 5 / 2
 
Therefore y = 5/2

HAVE A QUESTION? Chat With Our Tutoring Experts Now