Answer :
[tex]\frac{1}{2}(4a+10b)=c \\\\ \frac{1}{2}*2(2a+5b)=c \\\\ 2a+5b=c \\\\ 5b=c-2a \\\\ \boxed{b=\frac{c-2a}{5}}[/tex]
1/2 (4a + 10b) = c
Multiply each side by 2 : 4a + 10b = 2c
Subtract 4a from each side: 10b = 2c - 4a
Divide each side by 10 : b = 1/5 c - 2/5 a
Multiply each side by 2 : 4a + 10b = 2c
Subtract 4a from each side: 10b = 2c - 4a
Divide each side by 10 : b = 1/5 c - 2/5 a