answer is y= -4/3
step by step
-1/2 = 3/8y
divide both sides by 3/8 to solve for y
-1/2 divided by 3/8 = 3/8 divided by 3/8y
when you divide fractions you flip the divisor and multiply
-1/2 x 8/3 = y
-8/6 or simplified to -4/3
you can check your work by substituting your y value of -4/3 into your original equation
-1/2= 3/8y
-1/2 = (3/8) (-4/3)
-1/2 = -12/24
-1/2 = -1/2
They equal so problem solved!