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
Here's how to solve the equation: The given equation is: 3y + (5)/(2) = (29 - 21)/(3) Step 1: Simplify the right-hand side of the equation. 3y + (5)/(2) = (8)/(3) Step 2: Isolate the term with y. Subtract (5)/(2) from both sides: 3y = (8)/(3) - (5)/(2) Step 3: Find a common denominator for the fractions on the right side. The least common multiple (LCM) of 3 and 2 is 6. Rewrite the fractions with the common denominator: 3y = (8 · 2)/(3 · 2) - (5 · 3)/(2 · 3) 3y = (16)/(6) - (15)/(6) 3y = (16 - 15)/(6) 3y = (1)/(6) Step 4: Solve for y. Divide both sides by 3 (or multiply by (1)/(3)): y = (1)/(6) · (1)/(3) y = (1)/(18) The final answer is (1)/(18).