To solve this equation for y, you can follow these steps:
First, get all the terms with y on one side of the equation and all the other terms on the other side. To do this, you can add 2/5 to both sides to get rid of the 2/5 on the left side:
0.5y - 2 2/5 + 2/5 = 1/2y + 2.4 + 2/5
Simplify the left side of the equation:
0.5y - 2 + 2/5 = 1/2y + 2.4 + 2/5
0.5y - 2 + 2/5 + 2/5 = 1/2y + 2.4 + 2/5 + 2/5
0.5y - 2 + 4/5 = 1/2y + 2.4 + 4/5
Combine like terms on each side:
(0.5y + 4/5) - 2 = (1/2y + 2.4) + 4/5
Simplify:
0.5y + 4/5 - 2 = 1/2y + 2.4 + 4/5
0.5y - 2 + 4/5 = 1/2y + 2.4 + 4/5
Combine like terms on each side:
(0.5y + 4/5) = (1/2y + 2.4) + 4/5
Simplify:
0.5y + 4/5 = 1/2y + 2.4 + 4/5
Combine like terms on each side:
0.5y = 1/2y + 2.4
Subtract 1/2y from both sides:
0.5y - 1/2y = 1/2y - 1/2y + 2.4
0 = 2.4
Solve for y:
0 = 2.4
This equation has no solution, so there is no value of y that satisfies the given equation.