1/4y-7/2=7/3y+2
1/4Y - 7 / 2 = 7/3Y + 2
Y / 4 - 7 / 2 = 7Y / 3 + 2
Y / 4 - 7Y/3 = 7/2 + 2 = 11/2.
Y/4 - 7Y/3 = 11/2
Multiply both sides by 12.
3y - 28y = 66.
-25Y = 66
Y = -66/25
1/4Y - 7/2 = 7/3Y + 2
Y/4 - 7/2 = 7Y/3 +2
Y/4 - 7Y/3 = 7/2 + 2
Y/4 - 7Y/3 = 11/2
Multiply both sides by 12.
3Y - 28Y = 66.
-25Y = 66
Y = -66/25
To solve the equation 1/4y - 7/2 = 7/3y + 2, we need to isolate the variable y.
Step 1: Distribute
Multiply each term by the least common multiple (LCM) of the denominators, which is 12, to eliminate the fractions.
(12)(1/4y) - (12)(7/2) = (12)(7/3y) + (12)(2)
3y - 42 = 28y + 24
Step 2: Combine like terms
Combine the terms containing the variable y on one side and the constants on the other side.
3y - 28y = 24 + 42
-25y = 66
Step 3: Solve for y
Divide both sides of the equation by -25 to isolate the variable y.
(-25y)/(-25) = 66/(-25)
y = -66/25
So the solution to the equation 1/4y - 7/2 = 7/3y + 2 is y = -66/25.