(-y+5.3)+(7.1y-9)=6.2y+n

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Solution for (-y+5.3)+(7.1y-9)=6.2y+n equation:


Simplifying
(-1y + 5.3) + (7.1y + -9) = 6.2y + n

Reorder the terms:
(5.3 + -1y) + (7.1y + -9) = 6.2y + n

Remove parenthesis around (5.3 + -1y)
5.3 + -1y + (7.1y + -9) = 6.2y + n

Reorder the terms:
5.3 + -1y + (-9 + 7.1y) = 6.2y + n

Remove parenthesis around (-9 + 7.1y)
5.3 + -1y + -9 + 7.1y = 6.2y + n

Reorder the terms:
5.3 + -9 + -1y + 7.1y = 6.2y + n

Combine like terms: 5.3 + -9 = -3.7
-3.7 + -1y + 7.1y = 6.2y + n

Combine like terms: -1y + 7.1y = 6.1y
-3.7 + 6.1y = 6.2y + n

Reorder the terms:
-3.7 + 6.1y = n + 6.2y

Solving
-3.7 + 6.1y = n + 6.2y

Solving for variable 'y'.

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

Add '-6.2y' to each side of the equation.
-3.7 + 6.1y + -6.2y = n + 6.2y + -6.2y

Combine like terms: 6.1y + -6.2y = -0.1y
-3.7 + -0.1y = n + 6.2y + -6.2y

Combine like terms: 6.2y + -6.2y = 0.0
-3.7 + -0.1y = n + 0.0
-3.7 + -0.1y = n

Add '3.7' to each side of the equation.
-3.7 + 3.7 + -0.1y = 3.7 + n

Combine like terms: -3.7 + 3.7 = 0.0
0.0 + -0.1y = 3.7 + n
-0.1y = 3.7 + n

Divide each side by '-0.1'.
y = -37 + -10n

Simplifying
y = -37 + -10n

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