How To Solve For y

How To Solve For y Lets 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 = 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