3.6(y+1)=0.9(2y+12)

Solution for 3.6(y+1)=0.9(2y+12) equation:

Simplifying
3.6(y + 1) = 0.9(2y + 12)

Reorder the terms:
3.6(1 + y) = 0.9(2y + 12)
(1 * 3.6 + y * 3.6) = 0.9(2y + 12)
(3.6 + 3.6y) = 0.9(2y + 12)

Reorder the terms:
3.6 + 3.6y = 0.9(12 + 2y)
3.6 + 3.6y = (12 * 0.9 + 2y * 0.9)
3.6 + 3.6y = (10.8 + 1.8y)

Solving
3.6 + 3.6y = 10.8 + 1.8y

Solving for variable 'y'.

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

Add '-1.8y' to each side of the equation.
3.6 + 3.6y + -1.8y = 10.8 + 1.8y + -1.8y

Combine like terms: 3.6y + -1.8y = 1.8y
3.6 + 1.8y = 10.8 + 1.8y + -1.8y

Combine like terms: 1.8y + -1.8y = 0.0
3.6 + 1.8y = 10.8 + 0.0
3.6 + 1.8y = 10.8

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 1.8y = 10.8 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 1.8y = 10.8 + -3.6
1.8y = 10.8 + -3.6

Combine like terms: 10.8 + -3.6 = 7.2
1.8y = 7.2

Divide each side by '1.8'.
y = 4

Simplifying
y = 4