4(y-3)-8=-4(-6y+6)-8y

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Solution for 4(y-3)-8=-4(-6y+6)-8y equation:


Simplifying
4(y + -3) + -8 = -4(-6y + 6) + -8y

Reorder the terms:
4(-3 + y) + -8 = -4(-6y + 6) + -8y
(-3 * 4 + y * 4) + -8 = -4(-6y + 6) + -8y
(-12 + 4y) + -8 = -4(-6y + 6) + -8y

Reorder the terms:
-12 + -8 + 4y = -4(-6y + 6) + -8y

Combine like terms: -12 + -8 = -20
-20 + 4y = -4(-6y + 6) + -8y

Reorder the terms:
-20 + 4y = -4(6 + -6y) + -8y
-20 + 4y = (6 * -4 + -6y * -4) + -8y
-20 + 4y = (-24 + 24y) + -8y

Combine like terms: 24y + -8y = 16y
-20 + 4y = -24 + 16y

Solving
-20 + 4y = -24 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-20 + 4y + -16y = -24 + 16y + -16y

Combine like terms: 4y + -16y = -12y
-20 + -12y = -24 + 16y + -16y

Combine like terms: 16y + -16y = 0
-20 + -12y = -24 + 0
-20 + -12y = -24

Add '20' to each side of the equation.
-20 + 20 + -12y = -24 + 20

Combine like terms: -20 + 20 = 0
0 + -12y = -24 + 20
-12y = -24 + 20

Combine like terms: -24 + 20 = -4
-12y = -4

Divide each side by '-12'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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