Final answer:
To solve the equation y - 3 = -3y - 43, add 3y to both sides, then add 3 to both sides, and finally divide both sides by 4 to solve for y.
Step-by-step explanation:
To solve the equation y - 3 = -3y - 43, we want to isolate the variable y on one side of the equation. To do this, we can add 3y to both sides of the equation to eliminate the -3y term on the right side. This gives us: y + 3y - 3 = -3y + 3y - 43. Simplifying, we get: 4y - 3 = -43.
Next, we want to get rid of the -3 on the left side of the equation. We can do this by adding 3 to both sides of the equation, giving us: 4y - 3 + 3 = -43 + 3. Simplifying further, we get: 4y = -40.
Finally, to solve for y, we divide both sides of the equation by 4: (4y)/4 = -40/4. Simplifying one last time, we find that y = -10.
Learn more about Solving equations with variables on both sides