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

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


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

Reorder the terms:
4(-8 + y) + -8 = -5(-3y + 5) + -2y
(-8 * 4 + y * 4) + -8 = -5(-3y + 5) + -2y
(-32 + 4y) + -8 = -5(-3y + 5) + -2y

Reorder the terms:
-32 + -8 + 4y = -5(-3y + 5) + -2y

Combine like terms: -32 + -8 = -40
-40 + 4y = -5(-3y + 5) + -2y

Reorder the terms:
-40 + 4y = -5(5 + -3y) + -2y
-40 + 4y = (5 * -5 + -3y * -5) + -2y
-40 + 4y = (-25 + 15y) + -2y

Combine like terms: 15y + -2y = 13y
-40 + 4y = -25 + 13y

Solving
-40 + 4y = -25 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
-40 + 4y + -13y = -25 + 13y + -13y

Combine like terms: 4y + -13y = -9y
-40 + -9y = -25 + 13y + -13y

Combine like terms: 13y + -13y = 0
-40 + -9y = -25 + 0
-40 + -9y = -25

Add '40' to each side of the equation.
-40 + 40 + -9y = -25 + 40

Combine like terms: -40 + 40 = 0
0 + -9y = -25 + 40
-9y = -25 + 40

Combine like terms: -25 + 40 = 15
-9y = 15

Divide each side by '-9'.
y = -1.666666667

Simplifying
y = -1.666666667

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