y-(5y-2)=8

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


Simplifying
y + -1(5y + -2) = 8

Reorder the terms:
y + -1(-2 + 5y) = 8
y + (-2 * -1 + 5y * -1) = 8
y + (2 + -5y) = 8

Reorder the terms:
2 + y + -5y = 8

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

Solving
2 + -4y = 8

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + -4y = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -4y = 8 + -2
-4y = 8 + -2

Combine like terms: 8 + -2 = 6
-4y = 6

Divide each side by '-4'.
y = -1.5

Simplifying
y = -1.5

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