-(0.5y-2)+3=2.5(2+3y)-y

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Solution for -(0.5y-2)+3=2.5(2+3y)-y equation: 


Simplifying
-1(0.5y + -2) + 3 = 2.5(2 + 3y) + -1y

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

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

Combine like terms: 2 + 3 = 5
5 + -0.5y = 2.5(2 + 3y) + -1y
5 + -0.5y = (2 * 2.5 + 3y * 2.5) + -1y
5 + -0.5y = (5 + 7.5y) + -1y

Combine like terms: 7.5y + -1y = 6.5y
5 + -0.5y = 5 + 6.5y

Add '-5' to each side of the equation.
5 + -5 + -0.5y = 5 + -5 + 6.5y

Combine like terms: 5 + -5 = 0
0 + -0.5y = 5 + -5 + 6.5y
-0.5y = 5 + -5 + 6.5y

Combine like terms: 5 + -5 = 0
-0.5y = 0 + 6.5y
-0.5y = 6.5y

Solving
-0.5y = 6.5y

Solving for variable 'y'.

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

Add '-6.5y' to each side of the equation.
-0.5y + -6.5y = 6.5y + -6.5y

Combine like terms: -0.5y + -6.5y = -7y
-7y = 6.5y + -6.5y

Combine like terms: 6.5y + -6.5y = 0.0
-7y = 0.0

Divide each side by '-7'.
y = 0.0

Simplifying
y = 0.0

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