# How To Solve For y

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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