9+0.6(6-y)=0.4y-8(y-0.8)

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Solution for 9+0.6(6-y)=0.4y-8(y-0.8) equation:


Simplifying
9 + 0.6(6 + -1y) = 0.4y + -8(y + -0.8)
9 + (6 * 0.6 + -1y * 0.6) = 0.4y + -8(y + -0.8)
9 + (3.6 + -0.6y) = 0.4y + -8(y + -0.8)

Combine like terms: 9 + 3.6 = 12.6
12.6 + -0.6y = 0.4y + -8(y + -0.8)

Reorder the terms:
12.6 + -0.6y = 0.4y + -8(-0.8 + y)
12.6 + -0.6y = 0.4y + (-0.8 * -8 + y * -8)
12.6 + -0.6y = 0.4y + (6.4 + -8y)

Reorder the terms:
12.6 + -0.6y = 6.4 + 0.4y + -8y

Combine like terms: 0.4y + -8y = -7.6y
12.6 + -0.6y = 6.4 + -7.6y

Solving
12.6 + -0.6y = 6.4 + -7.6y

Solving for variable 'y'.

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

Add '7.6y' to each side of the equation.
12.6 + -0.6y + 7.6y = 6.4 + -7.6y + 7.6y

Combine like terms: -0.6y + 7.6y = 7y
12.6 + 7y = 6.4 + -7.6y + 7.6y

Combine like terms: -7.6y + 7.6y = 0.0
12.6 + 7y = 6.4 + 0.0
12.6 + 7y = 6.4

Add '-12.6' to each side of the equation.
12.6 + -12.6 + 7y = 6.4 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + 7y = 6.4 + -12.6
7y = 6.4 + -12.6

Combine like terms: 6.4 + -12.6 = -6.2
7y = -6.2

Divide each side by '7'.
y = -0.8857142857

Simplifying
y = -0.8857142857

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