(5y+5.3)+(8-2y-6)=3.2y+n

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Solution for (5y+5.3)+(8-2y-6)=3.2y+n equation:


Simplifying
(5y + 5.3) + (8 + -2y + -6) = 3.2y + n

Reorder the terms:
(5.3 + 5y) + (8 + -2y + -6) = 3.2y + n

Remove parenthesis around (5.3 + 5y)
5.3 + 5y + (8 + -2y + -6) = 3.2y + n

Reorder the terms:
5.3 + 5y + (8 + -6 + -2y) = 3.2y + n

Combine like terms: 8 + -6 = 2
5.3 + 5y + (2 + -2y) = 3.2y + n

Remove parenthesis around (2 + -2y)
5.3 + 5y + 2 + -2y = 3.2y + n

Reorder the terms:
5.3 + 2 + 5y + -2y = 3.2y + n

Combine like terms: 5.3 + 2 = 7.3
7.3 + 5y + -2y = 3.2y + n

Combine like terms: 5y + -2y = 3y
7.3 + 3y = 3.2y + n

Reorder the terms:
7.3 + 3y = n + 3.2y

Solving
7.3 + 3y = n + 3.2y

Solving for variable 'y'.

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

Add '-3.2y' to each side of the equation.
7.3 + 3y + -3.2y = n + 3.2y + -3.2y

Combine like terms: 3y + -3.2y = -0.2y
7.3 + -0.2y = n + 3.2y + -3.2y

Combine like terms: 3.2y + -3.2y = 0.0
7.3 + -0.2y = n + 0.0
7.3 + -0.2y = n

Add '-7.3' to each side of the equation.
7.3 + -7.3 + -0.2y = -7.3 + n

Combine like terms: 7.3 + -7.3 = 0.0
0.0 + -0.2y = -7.3 + n
-0.2y = -7.3 + n

Divide each side by '-0.2'.
y = 36.5 + -5n

Simplifying
y = 36.5 + -5n

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