2(b+5)=3(y+2)

Solution for 2(b+5)=3(y+2) equation:

Simplifying
2(b + 5) = 3(y + 2)

Reorder the terms:
2(5 + b) = 3(y + 2)
(5 * 2 + b * 2) = 3(y + 2)
(10 + 2b) = 3(y + 2)

Reorder the terms:
10 + 2b = 3(2 + y)
10 + 2b = (2 * 3 + y * 3)
10 + 2b = (6 + 3y)

Solving
10 + 2b = 6 + 3y

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + 2b = 6 + -10 + 3y

Combine like terms: 10 + -10 = 0
0 + 2b = 6 + -10 + 3y
2b = 6 + -10 + 3y

Combine like terms: 6 + -10 = -4
2b = -4 + 3y

Divide each side by '2'.
b = -2 + 1.5y

Simplifying
b = -2 + 1.5y