2(c+3)=3(y+7)

Solution for 2(c+3)=3(y+7) equation:

Simplifying
2(c + 3) = 3(y + 7)

Reorder the terms:
2(3 + c) = 3(y + 7)
(3 * 2 + c * 2) = 3(y + 7)
(6 + 2c) = 3(y + 7)

Reorder the terms:
6 + 2c = 3(7 + y)
6 + 2c = (7 * 3 + y * 3)
6 + 2c = (21 + 3y)

Solving
6 + 2c = 21 + 3y

Solving for variable 'c'.

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

Add '-6' to each side of the equation.
6 + -6 + 2c = 21 + -6 + 3y

Combine like terms: 6 + -6 = 0
0 + 2c = 21 + -6 + 3y
2c = 21 + -6 + 3y

Combine like terms: 21 + -6 = 15
2c = 15 + 3y

Divide each side by '2'.
c = 7.5 + 1.5y

Simplifying
c = 7.5 + 1.5y