2.4(y+1)=0.6(2y+6)

Solution for 2.4(y+1)=0.6(2y+6) equation:

Simplifying
2.4(y + 1) = 0.6(2y + 6)

Reorder the terms:
2.4(1 + y) = 0.6(2y + 6)
(1 * 2.4 + y * 2.4) = 0.6(2y + 6)
(2.4 + 2.4y) = 0.6(2y + 6)

Reorder the terms:
2.4 + 2.4y = 0.6(6 + 2y)
2.4 + 2.4y = (6 * 0.6 + 2y * 0.6)
2.4 + 2.4y = (3.6 + 1.2y)

Solving
2.4 + 2.4y = 3.6 + 1.2y

Solving for variable 'y'.

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

Add '-1.2y' to each side of the equation.
2.4 + 2.4y + -1.2y = 3.6 + 1.2y + -1.2y

Combine like terms: 2.4y + -1.2y = 1.2y
2.4 + 1.2y = 3.6 + 1.2y + -1.2y

Combine like terms: 1.2y + -1.2y = 0.0
2.4 + 1.2y = 3.6 + 0.0
2.4 + 1.2y = 3.6

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 1.2y = 3.6 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 1.2y = 3.6 + -2.4
1.2y = 3.6 + -2.4

Combine like terms: 3.6 + -2.4 = 1.2
1.2y = 1.2

Divide each side by '1.2'.
y = 1

Simplifying
y = 1