(3y-8)=(5y-1)

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Solution for (3y-8)=(5y-1) equation:


Simplifying
(3y + -8) = (5y + -1)

Reorder the terms:
(-8 + 3y) = (5y + -1)

Remove parenthesis around (-8 + 3y)
-8 + 3y = (5y + -1)

Reorder the terms:
-8 + 3y = (-1 + 5y)

Remove parenthesis around (-1 + 5y)
-8 + 3y = -1 + 5y

Solving
-8 + 3y = -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.
-8 + 3y + -5y = -1 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-8 + -2y = -1 + 5y + -5y

Combine like terms: 5y + -5y = 0
-8 + -2y = -1 + 0
-8 + -2y = -1

Add '8' to each side of the equation.
-8 + 8 + -2y = -1 + 8

Combine like terms: -8 + 8 = 0
0 + -2y = -1 + 8
-2y = -1 + 8

Combine like terms: -1 + 8 = 7
-2y = 7

Divide each side by '-2'.
y = -3.5

Simplifying
y = -3.5

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