y-0.9=0.8y-0.4

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Solution for y-0.9=0.8y-0.4 equation:


Simplifying
y + -0.9 = 0.8y + -0.4

Reorder the terms:
-0.9 + y = 0.8y + -0.4

Reorder the terms:
-0.9 + y = -0.4 + 0.8y

Solving
-0.9 + y = -0.4 + 0.8y

Solving for variable 'y'.

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

Add '-0.8y' to each side of the equation.
-0.9 + y + -0.8y = -0.4 + 0.8y + -0.8y

Combine like terms: y + -0.8y = 0.2y
-0.9 + 0.2y = -0.4 + 0.8y + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
-0.9 + 0.2y = -0.4 + 0.0
-0.9 + 0.2y = -0.4

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 0.2y = -0.4 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 0.2y = -0.4 + 0.9
0.2y = -0.4 + 0.9

Combine like terms: -0.4 + 0.9 = 0.5
0.2y = 0.5

Divide each side by '0.2'.
y = 2.5

Simplifying
y = 2.5

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