0.2(10y-5)=9-0.5y

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Solution for 0.2(10y-5)=9-0.5y equation: 


Simplifying
0.2(10y + -5) = 9 + -0.5y

Reorder the terms:
0.2(-5 + 10y) = 9 + -0.5y
(-5 * 0.2 + 10y * 0.2) = 9 + -0.5y
(-1 + 2y) = 9 + -0.5y

Solving
-1 + 2y = 9 + -0.5y

Solving for variable 'y'.

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

Add '0.5y' to each side of the equation.
-1 + 2y + 0.5y = 9 + -0.5y + 0.5y

Combine like terms: 2y + 0.5y = 2.5y
-1 + 2.5y = 9 + -0.5y + 0.5y

Combine like terms: -0.5y + 0.5y = 0.0
-1 + 2.5y = 9 + 0.0
-1 + 2.5y = 9

Add '1' to each side of the equation.
-1 + 1 + 2.5y = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 2.5y = 9 + 1
2.5y = 9 + 1

Combine like terms: 9 + 1 = 10
2.5y = 10

Divide each side by '2.5'.
y = 4

Simplifying
y = 4

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