4(y-1)=6y+2-4(-3y-3)

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Solution for 4(y-1)=6y+2-4(-3y-3) equation:


Simplifying
4(y + -1) = 6y + 2 + -4(-3y + -3)

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

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

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

Combine like terms: 2 + 12 = 14
-4 + 4y = 14 + 6y + 12y

Combine like terms: 6y + 12y = 18y
-4 + 4y = 14 + 18y

Solving
-4 + 4y = 14 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
-4 + 4y + -18y = 14 + 18y + -18y

Combine like terms: 4y + -18y = -14y
-4 + -14y = 14 + 18y + -18y

Combine like terms: 18y + -18y = 0
-4 + -14y = 14 + 0
-4 + -14y = 14

Add '4' to each side of the equation.
-4 + 4 + -14y = 14 + 4

Combine like terms: -4 + 4 = 0
0 + -14y = 14 + 4
-14y = 14 + 4

Combine like terms: 14 + 4 = 18
-14y = 18

Divide each side by '-14'.
y = -1.285714286

Simplifying
y = -1.285714286

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