The answer of the above equation is  23.

Explaination:

Let the glass full of blue color be, 2B

Similarly, half a glass of blue color will be, B

Similarly, for a glass full of red color be, 2R

& Glass full of yellow color be, 2Y

Rewriting, the equations in the form of assigned terms,

(1)Equation; 2B + B + 2B = 15

(2)Equation; 2Y – Y + 2B = 10

(3)Equation; 2R + 2R – R = 06

(4)Equation; B + (B + R) * Y =?

Initiating, with equation (1);

2B + B + 2B = 15

5B = 15

Blue, B = 3

Now, substitute value of B in equation (2);

2Y – Y + 2B = 10

Y + 2B = 10

Y + 6 = 10

Yellow, Y = 4,

We have equation (3), in the single variable form,

2R + 2R – R = 06

4R – R = 06

3R = 06

Red, R = 2

Now, for final equation (4) substitute all the required values in equation (4),

B + (B + R) * Y =?

= 3 + (3 + 2) * 4

= 3 + 5 * 4

B + (B + R) * Y = 3 + 20

B + (B + R) * Y =23