10-0.4(y-6)=0.5(5y-6)

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Solution for 10-0.4(y-6)=0.5(5y-6) equation: 


Simplifying
10 + -0.4(y + -6) = 0.5(5y + -6)

Reorder the terms:
10 + -0.4(-6 + y) = 0.5(5y + -6)
10 + (-6 * -0.4 + y * -0.4) = 0.5(5y + -6)
10 + (2.4 + -0.4y) = 0.5(5y + -6)

Combine like terms: 10 + 2.4 = 12.4
12.4 + -0.4y = 0.5(5y + -6)

Reorder the terms:
12.4 + -0.4y = 0.5(-6 + 5y)
12.4 + -0.4y = (-6 * 0.5 + 5y * 0.5)
12.4 + -0.4y = (-3 + 2.5y)

Solving
12.4 + -0.4y = -3 + 2.5y

Solving for variable 'y'.

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

Add '-2.5y' to each side of the equation.
12.4 + -0.4y + -2.5y = -3 + 2.5y + -2.5y

Combine like terms: -0.4y + -2.5y = -2.9y
12.4 + -2.9y = -3 + 2.5y + -2.5y

Combine like terms: 2.5y + -2.5y = 0.0
12.4 + -2.9y = -3 + 0.0
12.4 + -2.9y = -3

Add '-12.4' to each side of the equation.
12.4 + -12.4 + -2.9y = -3 + -12.4

Combine like terms: 12.4 + -12.4 = 0.0
0.0 + -2.9y = -3 + -12.4
-2.9y = -3 + -12.4

Combine like terms: -3 + -12.4 = -15.4
-2.9y = -15.4

Divide each side by '-2.9'.
y = 5.310344828

Simplifying
y = 5.310344828

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