Final answer:
To isolate the variable y in the equation 77/7 = 48y-26y-55, combine like terms and simplify the equation. Then, isolate y by getting rid of the constant term -55. Finally, simplify the left side of the equation and divide both sides by 22 to find the value of y.
Step-by-step explanation:
To isolate the variable y in the equation 77/7 = 48y-26y-55, you need to combine like terms on the right side of the equation first. This involves adding or subtracting the coefficients of y. In this case, 48y - 26y simplifies to 22y. So the equation becomes 77/7 = 22y - 55.
Next, you want to isolate y by getting rid of the constant term -55. To do this, you can add 55 to both sides of the equation. 77/7 + 55 = 22y - 55 + 55. Simplifying this further, we get 77/7 + 55 = 22y.
To simplify the left side of the equation, you need to find a common denominator for 77/7 and 55. The least common multiple of 7 and 1 is 7, so we can rewrite 77/7 as 11. Therefore, the equation becomes 11 + 55 = 22y. Solving for y, we have 66 = 22y. Finally, divide both sides of the equation by 22 to isolate y. 66/22 = 22y/22. The final answer is y = 3.