Certainly! Let's go step by step to understand why there is no solution to this equation.The given equation is: -2y + 7/5y = -4 - 3/5y - 2To solve for y, we need to combine like terms and isolate the variable on one side of the equation. Combining like terms on the left side, we have: (-2 + 7/5)y = -4 - 3/5y - 2To simplify the left side, we need a common denominator for the fractions. The common denominator for 5 and 1 is 5. So, (-2 + 7/5)y becomes (-10/5 + 7/5)y = (-3/5)yNow, let's simplify the equation further:(-3/5)y = -4 - 3/5y - 2Next, we need to eliminate the fractions by multiplying every term in the equation by 5:5 * (-3/5)y = 5 * (-4 - 3/5y - 2)Simplifying, we have:-3y = -20 - 3y - 10Now, let's combine like terms on the right side:-3y = -3y - 30At this point, we can see that the variable y cancels out on both sides of the equation. This means that we are left with:0 = -30This is a contradiction because 0 does not equal -30. Therefore, the equation has no solution. Hence, the correct answer is C. No Solution.I hope this explanation helps you understand why there is no solution to the given equation. Let me know if you have any further questions!
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