In an equation b or any other letters usually denotes the unknown variable.
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if its a standard linear equation in the form of y, y=mx+b then the b is the y value when x is 0. if it is a trigonometric function in the form of y=(a)sin(bx+c)+d or y=(a)cos(bx+c)+d then b is the factor of the period of the function. (the period can be found with the formula 2∏/b
b is the negative sum of the roots of the equation
a+b(a+B)=ab
You're talking about y=mx+b which is the standard line equation.
For a value to be a solution to an equation, when you substitute the value for the variable, the equation becomes true. 4+B=6 B is the variable. 2 is the solution Substitute 2 for B 4+2=6 The equation is true.