y+4y+2=12y-54

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Solution for y+4y+2=12y-54 equation:


Simplifying
y + 4y + 2 = 12y + -54

Reorder the terms:
2 + y + 4y = 12y + -54

Combine like terms: y + 4y = 5y
2 + 5y = 12y + -54

Reorder the terms:
2 + 5y = -54 + 12y

Solving
2 + 5y = -54 + 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 = -54 + 12y + -12y

Combine like terms: 5y + -12y = -7y
2 + -7y = -54 + 12y + -12y

Combine like terms: 12y + -12y = 0
2 + -7y = -54 + 0
2 + -7y = -54

Add '-2' to each side of the equation.
2 + -2 + -7y = -54 + -2

Combine like terms: 2 + -2 = 0
0 + -7y = -54 + -2
-7y = -54 + -2

Combine like terms: -54 + -2 = -56
-7y = -56

Divide each side by '-7'.
y = 8

Simplifying
y = 8

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