0.9(y+6)=-0.1(y-0.5)

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Solution for 0.9(y+6)=-0.1(y-0.5) equation: 


Simplifying
0.9(y + 6) = -0.1(y + -0.5)

Reorder the terms:
0.9(6 + y) = -0.1(y + -0.5)
(6 * 0.9 + y * 0.9) = -0.1(y + -0.5)
(5.4 + 0.9y) = -0.1(y + -0.5)

Reorder the terms:
5.4 + 0.9y = -0.1(-0.5 + y)
5.4 + 0.9y = (-0.5 * -0.1 + y * -0.1)
5.4 + 0.9y = (0.05 + -0.1y)

Solving
5.4 + 0.9y = 0.05 + -0.1y

Solving for variable 'y'.

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

Add '0.1y' to each side of the equation.
5.4 + 0.9y + 0.1y = 0.05 + -0.1y + 0.1y

Combine like terms: 0.9y + 0.1y = 1y
5.4 + 1y = 0.05 + -0.1y + 0.1y

Combine like terms: -0.1y + 0.1y = 0.0
5.4 + 1y = 0.05 + 0.0
5.4 + 1y = 0.05

Add '-5.4' to each side of the equation.
5.4 + -5.4 + 1y = 0.05 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + 1y = 0.05 + -5.4
1y = 0.05 + -5.4

Combine like terms: 0.05 + -5.4 = -5.35
1y = -5.35

Divide each side by '1'.
y = -5.35

Simplifying
y = -5.35

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