-4/3y=4/5

Sure, let's solve the equation step by step.

The given equation is -4/3y = 4/5.

Step 1: To isolate y, we need to get rid of -4/3 on the left side. We can do this by multiplying both sides of the equation by the reciprocal of -4/3, which is -3/4.

(-3/4) * (-4/3)y = (-3/4) * (4/5)

Step 2: Simplify both sides. On the left side, the -3/4 and -4/3 cancel out, leaving us with y. On the right side, we multiply the numerators together to get -12 and the denominators together to get 20.

y = -12/20

Step 3: Simplify the fraction on the right side by dividing both the numerator and the denominator by their greatest common divisor, which is 4.

y = -3/5

So, the solution to the equation -4/3y = 4/5 is y = -3/5.