[5y-4]=[51-6y]

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Solution for [5y-4]=[51-6y] equation:


Simplifying
[5y + -4] = [51 + -6y]

Reorder the terms:
[-4 + 5y] = [51 + -6y]

Remove brackets around [-4 + 5y]
-4 + 5y = [51 + -6y]

Remove brackets around [51 + -6y]
-4 + 5y = 51 + -6y

Solving
-4 + 5y = 51 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-4 + 5y + 6y = 51 + -6y + 6y

Combine like terms: 5y + 6y = 11y
-4 + 11y = 51 + -6y + 6y

Combine like terms: -6y + 6y = 0
-4 + 11y = 51 + 0
-4 + 11y = 51

Add '4' to each side of the equation.
-4 + 4 + 11y = 51 + 4

Combine like terms: -4 + 4 = 0
0 + 11y = 51 + 4
11y = 51 + 4

Combine like terms: 51 + 4 = 55
11y = 55

Divide each side by '11'.
y = 5

Simplifying
y = 5

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