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

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


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

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

Combine like terms: y + -8y = -7y
2 + -7y = -5(y + -4)

Reorder the terms:
2 + -7y = -5(-4 + y)
2 + -7y = (-4 * -5 + y * -5)
2 + -7y = (20 + -5y)

Solving
2 + -7y = 20 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
2 + -7y + 5y = 20 + -5y + 5y

Combine like terms: -7y + 5y = -2y
2 + -2y = 20 + -5y + 5y

Combine like terms: -5y + 5y = 0
2 + -2y = 20 + 0
2 + -2y = 20

Add '-2' to each side of the equation.
2 + -2 + -2y = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -2y = 20 + -2
-2y = 20 + -2

Combine like terms: 20 + -2 = 18
-2y = 18

Divide each side by '-2'.
y = -9

Simplifying
y = -9

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