Final answer:
To solve the equation 1.55y - (5y - 17) ÷ 100 = 0.2, simplify the expression inside the parentheses, divide it by 100, subtract that result from 1.55y, and equate the expression to 0.2. The solution is y = 0.38.
Step-by-step explanation:
To solve the equation 1.55y - (5y - 17) ÷ 100 = 0.2, we will follow the order of operations. First, we simplify the expression inside the parentheses: 5y - 17. Then, divide it by 100. Next, we subtract that result from 1.55y. Finally, we equate the expression to 0.2.
Let's solve the equation step by step:
Simplify: 5y - 17 / 100 = 0.2
Multiply the expression inside the parentheses: 5y - 1.7 = 0.2
Add 1.7 to both sides to isolate the variable: 5y = 0.2 + 1.7
Combine like terms: 5y = 1.9
Divide both sides by 5: y = 1.9 / 5
Simplify: y = 0.38
Therefore, the solution to the equation 1.55y - (5y - 17) ÷ 100 = 0.2 is y = 0.38.