4y+3(4y-2)=3(y+1)

Solution for 4y+3(4y-2)=3(y+1) equation:

Simplifying
4y + 3(4y + -2) = 3(y + 1)

Reorder the terms:
4y + 3(-2 + 4y) = 3(y + 1)
4y + (-2 * 3 + 4y * 3) = 3(y + 1)
4y + (-6 + 12y) = 3(y + 1)

Reorder the terms:
-6 + 4y + 12y = 3(y + 1)

Combine like terms: 4y + 12y = 16y
-6 + 16y = 3(y + 1)

Reorder the terms:
-6 + 16y = 3(1 + y)
-6 + 16y = (1 * 3 + y * 3)
-6 + 16y = (3 + 3y)

Solving
-6 + 16y = 3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-6 + 16y + -3y = 3 + 3y + -3y

Combine like terms: 16y + -3y = 13y
-6 + 13y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + 13y = 3 + 0
-6 + 13y = 3

Add '6' to each side of the equation.
-6 + 6 + 13y = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 13y = 3 + 6
13y = 3 + 6

Combine like terms: 3 + 6 = 9
13y = 9

Divide each side by '13'.
y = 0.6923076923

Simplifying
y = 0.6923076923