3(y-8)-4=-3(-8y+8)-7y

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Solution for 3(y-8)-4=-3(-8y+8)-7y equation:


Simplifying
3(y + -8) + -4 = -3(-8y + 8) + -7y

Reorder the terms:
3(-8 + y) + -4 = -3(-8y + 8) + -7y
(-8 * 3 + y * 3) + -4 = -3(-8y + 8) + -7y
(-24 + 3y) + -4 = -3(-8y + 8) + -7y

Reorder the terms:
-24 + -4 + 3y = -3(-8y + 8) + -7y

Combine like terms: -24 + -4 = -28
-28 + 3y = -3(-8y + 8) + -7y

Reorder the terms:
-28 + 3y = -3(8 + -8y) + -7y
-28 + 3y = (8 * -3 + -8y * -3) + -7y
-28 + 3y = (-24 + 24y) + -7y

Combine like terms: 24y + -7y = 17y
-28 + 3y = -24 + 17y

Solving
-28 + 3y = -24 + 17y

Solving for variable 'y'.

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

Add '-17y' to each side of the equation.
-28 + 3y + -17y = -24 + 17y + -17y

Combine like terms: 3y + -17y = -14y
-28 + -14y = -24 + 17y + -17y

Combine like terms: 17y + -17y = 0
-28 + -14y = -24 + 0
-28 + -14y = -24

Add '28' to each side of the equation.
-28 + 28 + -14y = -24 + 28

Combine like terms: -28 + 28 = 0
0 + -14y = -24 + 28
-14y = -24 + 28

Combine like terms: -24 + 28 = 4
-14y = 4

Divide each side by '-14'.
y = -0.2857142857

Simplifying
y = -0.2857142857

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