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

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


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

Reorder the terms:
-6(-3 + 3y) + 6y = 4(y + 4)
(-3 * -6 + 3y * -6) + 6y = 4(y + 4)
(18 + -18y) + 6y = 4(y + 4)

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

Reorder the terms:
18 + -12y = 4(4 + y)
18 + -12y = (4 * 4 + y * 4)
18 + -12y = (16 + 4y)

Solving
18 + -12y = 16 + 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.
18 + -12y + -4y = 16 + 4y + -4y

Combine like terms: -12y + -4y = -16y
18 + -16y = 16 + 4y + -4y

Combine like terms: 4y + -4y = 0
18 + -16y = 16 + 0
18 + -16y = 16

Add '-18' to each side of the equation.
18 + -18 + -16y = 16 + -18

Combine like terms: 18 + -18 = 0
0 + -16y = 16 + -18
-16y = 16 + -18

Combine like terms: 16 + -18 = -2
-16y = -2

Divide each side by '-16'.
y = 0.125

Simplifying
y = 0.125

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