(5y+2)=(12y+8)

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Solution for (5y+2)=(12y+8) equation:


Simplifying
(5y + 2) = (12y + 8)

Reorder the terms:
(2 + 5y) = (12y + 8)

Remove parenthesis around (2 + 5y)
2 + 5y = (12y + 8)

Reorder the terms:
2 + 5y = (8 + 12y)

Remove parenthesis around (8 + 12y)
2 + 5y = 8 + 12y

Solving
2 + 5y = 8 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
2 + 5y + -12y = 8 + 12y + -12y

Combine like terms: 5y + -12y = -7y
2 + -7y = 8 + 12y + -12y

Combine like terms: 12y + -12y = 0
2 + -7y = 8 + 0
2 + -7y = 8

Add '-2' to each side of the equation.
2 + -2 + -7y = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -7y = 8 + -2
-7y = 8 + -2

Combine like terms: 8 + -2 = 6
-7y = 6

Divide each side by '-7'.
y = -0.8571428571

Simplifying
y = -0.8571428571

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