-6(y-8)=1-5y

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Solution for -6(y-8)=1-5y equation: 


Simplifying
-6(y + -8) = 1 + -5y

Reorder the terms:
-6(-8 + y) = 1 + -5y
(-8 * -6 + y * -6) = 1 + -5y
(48 + -6y) = 1 + -5y

Solving
48 + -6y = 1 + -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.
48 + -6y + 5y = 1 + -5y + 5y

Combine like terms: -6y + 5y = -1y
48 + -1y = 1 + -5y + 5y

Combine like terms: -5y + 5y = 0
48 + -1y = 1 + 0
48 + -1y = 1

Add '-48' to each side of the equation.
48 + -48 + -1y = 1 + -48

Combine like terms: 48 + -48 = 0
0 + -1y = 1 + -48
-1y = 1 + -48

Combine like terms: 1 + -48 = -47
-1y = -47

Divide each side by '-1'.
y = 47

Simplifying
y = 47

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