0.3y+0.5=0.4y-0.2

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Solution for 0.3y+0.5=0.4y-0.2 equation: 


Simplifying
0.3y + 0.5 = 0.4y + -0.2

Reorder the terms:
0.5 + 0.3y = 0.4y + -0.2

Reorder the terms:
0.5 + 0.3y = -0.2 + 0.4y

Solving
0.5 + 0.3y = -0.2 + 0.4y

Solving for variable 'y'.

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

Add '-0.4y' to each side of the equation.
0.5 + 0.3y + -0.4y = -0.2 + 0.4y + -0.4y

Combine like terms: 0.3y + -0.4y = -0.1y
0.5 + -0.1y = -0.2 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
0.5 + -0.1y = -0.2 + 0.0
0.5 + -0.1y = -0.2

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.1y = -0.2 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.1y = -0.2 + -0.5
-0.1y = -0.2 + -0.5

Combine like terms: -0.2 + -0.5 = -0.7
-0.1y = -0.7

Divide each side by '-0.1'.
y = 7

Simplifying
y = 7

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