5+.5(9-y)=.6y-2(y-.5)

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Solution for 5+.5(9-y)=.6y-2(y-.5) equation: 


Simplifying
5 + 0.5(9 + -1y) = 0.6y + -2(y + -0.5)
5 + (9 * 0.5 + -1y * 0.5) = 0.6y + -2(y + -0.5)
5 + (4.5 + -0.5y) = 0.6y + -2(y + -0.5)

Combine like terms: 5 + 4.5 = 9.5
9.5 + -0.5y = 0.6y + -2(y + -0.5)

Reorder the terms:
9.5 + -0.5y = 0.6y + -2(-0.5 + y)
9.5 + -0.5y = 0.6y + (-0.5 * -2 + y * -2)
9.5 + -0.5y = 0.6y + (1 + -2y)

Reorder the terms:
9.5 + -0.5y = 1 + 0.6y + -2y

Combine like terms: 0.6y + -2y = -1.4y
9.5 + -0.5y = 1 + -1.4y

Solving
9.5 + -0.5y = 1 + -1.4y

Solving for variable 'y'.

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

Add '1.4y' to each side of the equation.
9.5 + -0.5y + 1.4y = 1 + -1.4y + 1.4y

Combine like terms: -0.5y + 1.4y = 0.9y
9.5 + 0.9y = 1 + -1.4y + 1.4y

Combine like terms: -1.4y + 1.4y = 0.0
9.5 + 0.9y = 1 + 0.0
9.5 + 0.9y = 1

Add '-9.5' to each side of the equation.
9.5 + -9.5 + 0.9y = 1 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + 0.9y = 1 + -9.5
0.9y = 1 + -9.5

Combine like terms: 1 + -9.5 = -8.5
0.9y = -8.5

Divide each side by '0.9'.
y = -9.444444444

Simplifying
y = -9.444444444

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