This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Your solution is correct! Here are the steps to find y: Step 1: Start with the given equation. (y+5)/(3) - (y-3)/(2) = 5 Step 2: Find a common denominator for the fractions, which is 6. Rewrite the fractions with the common denominator. (2(y+5))/(6) - (3(y-3))/(6) = 5 (2(y+5) - 3(y-3))/(6) = 5 Step 3: Distribute the numbers into the parentheses in the numerator. Be careful with the negative sign. (2y+10 - 3y+9)/(6) = 5 Step 4: Combine like terms in the numerator (2y - 3y and 10 + 9). (-y+19)/(6) = 5 Step 5: Multiply both sides of the equation by 6 to eliminate the denominator. -y+19 = 5 × 6 -y+19 = 30 Step 6: Subtract 19 from both sides of the equation. -y = 30 - 19 -y = 11 Step 7: Multiply both sides by -1 to solve for y. y = -11 The final answer is y=-11. What's next? 📸