Solve -4=1/4*6+b

$$- 4 = \frac { 1 } { 4 } \cdot 6 + b$$

Solve for b

$$b = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Steps for Solving Linear Equation

Multiply \frac{1}{4} and 6 to get \frac{6}{4}.

$$-4=\frac{6}{4}+b$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$-4=\frac{3}{2}+b$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{3}{2}+b=-4$$

Subtract \frac{3}{2} from both sides.

$$b=-4-\frac{3}{2}$$

Convert -4 to fraction -\frac{8}{2}.

$$b=-\frac{8}{2}-\frac{3}{2}$$

Since -\frac{8}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$b=\frac{-8-3}{2}$$

Subtract 3 from -8 to get -11.

$$b=-\frac{11}{2}$$