Answer:
y = [tex]\frac{m-dn}{d+1}[/tex]
Step-by-step explanation:
given d = [tex]\frac{m-y}{y+n}[/tex]
multiply both sides by (y + n)
d(y + n) = m - y ← distribute left side
dy + dn = m - y ← add y to both sides
dy + y + dn = m ← subtract dn from both sides
dy + y = m - dn ← factor out y on the left side
y(d + 1) = m - dn ← divide both sides by (d + 1)
y = [tex]\frac{m-dn}{d+1}[/tex]
