3(y-8)-2=-4(-5y+5)-8y

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Solution for 3(y-8)-2=-4(-5y+5)-8y equation:


Simplifying
3(y + -8) + -2 = -4(-5y + 5) + -8y

Reorder the terms:
3(-8 + y) + -2 = -4(-5y + 5) + -8y
(-8 * 3 + y * 3) + -2 = -4(-5y + 5) + -8y
(-24 + 3y) + -2 = -4(-5y + 5) + -8y

Reorder the terms:
-24 + -2 + 3y = -4(-5y + 5) + -8y

Combine like terms: -24 + -2 = -26
-26 + 3y = -4(-5y + 5) + -8y

Reorder the terms:
-26 + 3y = -4(5 + -5y) + -8y
-26 + 3y = (5 * -4 + -5y * -4) + -8y
-26 + 3y = (-20 + 20y) + -8y

Combine like terms: 20y + -8y = 12y
-26 + 3y = -20 + 12y

Solving
-26 + 3y = -20 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-26 + 3y + -12y = -20 + 12y + -12y

Combine like terms: 3y + -12y = -9y
-26 + -9y = -20 + 12y + -12y

Combine like terms: 12y + -12y = 0
-26 + -9y = -20 + 0
-26 + -9y = -20

Add '26' to each side of the equation.
-26 + 26 + -9y = -20 + 26

Combine like terms: -26 + 26 = 0
0 + -9y = -20 + 26
-9y = -20 + 26

Combine like terms: -20 + 26 = 6
-9y = 6

Divide each side by '-9'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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