0.5(2n-5)=5(y-1)+3y

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Solution for 0.5(2n-5)=5(y-1)+3y equation: 


Simplifying
0.5(2n + -5) = 5(y + -1) + 3y

Reorder the terms:
0.5(-5 + 2n) = 5(y + -1) + 3y
(-5 * 0.5 + 2n * 0.5) = 5(y + -1) + 3y
(-2.5 + 1n) = 5(y + -1) + 3y

Reorder the terms:
-2.5 + 1n = 5(-1 + y) + 3y
-2.5 + 1n = (-1 * 5 + y * 5) + 3y
-2.5 + 1n = (-5 + 5y) + 3y

Combine like terms: 5y + 3y = 8y
-2.5 + 1n = -5 + 8y

Solving
-2.5 + 1n = -5 + 8y

Solving for variable 'n'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 1n = -5 + 2.5 + 8y

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 1n = -5 + 2.5 + 8y
1n = -5 + 2.5 + 8y

Combine like terms: -5 + 2.5 = -2.5
1n = -2.5 + 8y

Divide each side by '1'.
n = -2.5 + 8y

Simplifying
n = -2.5 + 8y

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