1/2(4a+10b) = c solve for b
\(\frac{1}{2}(4a+10b)=c \\\\ \frac{1}{2}*2(2a+5b)=c \\\\ 2a+5b=c \\\\ 5b=c-2a \\\\ \boxed{b=\frac{c-2a}{5}}\)
1/2 (4a + 10b) = cMultiply each side by 2 : 4a + 10b = 2cSubtract 4a from each side: 10b = 2c - 4aDivide each side by 10 : b = 1/5 c - 2/5 a