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

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


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

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

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

Combine like terms: 4 + 6 = 10
10 + 4y + 12y = 4(y + -2)

Combine like terms: 4y + 12y = 16y
10 + 16y = 4(y + -2)

Reorder the terms:
10 + 16y = 4(-2 + y)
10 + 16y = (-2 * 4 + y * 4)
10 + 16y = (-8 + 4y)

Solving
10 + 16y = -8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
10 + 16y + -4y = -8 + 4y + -4y

Combine like terms: 16y + -4y = 12y
10 + 12y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
10 + 12y = -8 + 0
10 + 12y = -8

Add '-10' to each side of the equation.
10 + -10 + 12y = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 12y = -8 + -10
12y = -8 + -10

Combine like terms: -8 + -10 = -18
12y = -18

Divide each side by '12'.
y = -1.5

Simplifying
y = -1.5

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