(5y-8)=(y+24)

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Solution for (5y-8)=(y+24) equation:


Simplifying
(5y + -8) = (y + 24)

Reorder the terms:
(-8 + 5y) = (y + 24)

Remove parenthesis around (-8 + 5y)
-8 + 5y = (y + 24)

Reorder the terms:
-8 + 5y = (24 + y)

Remove parenthesis around (24 + y)
-8 + 5y = 24 + y

Solving
-8 + 5y = 24 + 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 + 5y + -1y = 24 + y + -1y

Combine like terms: 5y + -1y = 4y
-8 + 4y = 24 + y + -1y

Combine like terms: y + -1y = 0
-8 + 4y = 24 + 0
-8 + 4y = 24

Add '8' to each side of the equation.
-8 + 8 + 4y = 24 + 8

Combine like terms: -8 + 8 = 0
0 + 4y = 24 + 8
4y = 24 + 8

Combine like terms: 24 + 8 = 32
4y = 32

Divide each side by '4'.
y = 8

Simplifying
y = 8

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