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

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


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

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

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

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

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

Solving
-8 + 3y = 5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-8 + 3y + -1y = 5 + y + -1y

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

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

Add '8' to each side of the equation.
-8 + 8 + 2y = 5 + 8

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

Combine like terms: 5 + 8 = 13
2y = 13

Divide each side by '2'.
y = 6.5

Simplifying
y = 6.5

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