(5y-1)=(8y+12)

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Solution for (5y-1)=(8y+12) equation:


Simplifying
(5y + -1) = (8y + 12)

Reorder the terms:
(-1 + 5y) = (8y + 12)

Remove parenthesis around (-1 + 5y)
-1 + 5y = (8y + 12)

Reorder the terms:
-1 + 5y = (12 + 8y)

Remove parenthesis around (12 + 8y)
-1 + 5y = 12 + 8y

Solving
-1 + 5y = 12 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-1 + 5y + -8y = 12 + 8y + -8y

Combine like terms: 5y + -8y = -3y
-1 + -3y = 12 + 8y + -8y

Combine like terms: 8y + -8y = 0
-1 + -3y = 12 + 0
-1 + -3y = 12

Add '1' to each side of the equation.
-1 + 1 + -3y = 12 + 1

Combine like terms: -1 + 1 = 0
0 + -3y = 12 + 1
-3y = 12 + 1

Combine like terms: 12 + 1 = 13
-3y = 13

Divide each side by '-3'.
y = -4.333333333

Simplifying
y = -4.333333333

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