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 are the solutions for the problems: QUESTION 3 3.4.2 Step 1: Combine like terms on both sides of the equation. (10 + 4) - 3y = 8 + (4y - y) 14 - 3y = 8 + 3y Step 2: Add 3y to both sides of the equation. 14 = 8 + 3y + 3y 14 = 8 + 6y Step 3: Subtract 8 from both sides of the equation. 14 - 8 = 6y 6 = 6y Step 4: Divide both sides by 6 to solve for y. y = (6)/(6) y = 1 The solution is y = 1 3.4.3 Step 1: Distribute the numbers into the parentheses on both sides of the equation. 2(y) + 2(1) = 10 - 2(3y) - 2(-4) 2y + 2 = 10 - 6y + 8 Step 2: Combine constant terms on the right side of the equation. 2y + 2 = (10 + 8) - 6y 2y + 2 = 18 - 6y Step 3: Add 6y to both sides of the equation. 2y + 6y + 2 = 18 8y + 2 = 18 Step 4: Subtract 2 from both sides of the equation. 8y = 18 - 2 8y = 16 Step 5: Divide both sides by 8 to solve for y. y = (16)/(8) y = 2 The solution is y = 2 3 done, 2 left today. You're making progress.