Answer:
y = 5/3
Explanation:
Start with the equation:
2y + 3 = 5y - 2
To isolate the variable y, you'll want to get all the y terms on one side of the equation and the constants on the other side. First, subtract 2y from both sides to move the y terms to one side:
2y - 2y + 3 = 5y - 2y - 2
This simplifies to:
3 = 3y - 2
Next, add 2 to both sides to isolate the term with y:
3 + 2 = 3y - 2 + 2
This simplifies to:
5 = 3y
Finally, divide both sides by 3 (the coefficient of y) to solve for y:
5 / 3 = (3y) / 3
This gives you the final answer:
y = 5/3 or y = 1.67 (rounded to two decimal places)
So, the solution to the equation 2y + 3 = 5y - 2 is y = 5/3 or approximately 1.67. If you have any more questions or equations, feel free to ask!