5y-1(-0.3+6y)=0.9-0.5y

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Solution for 5y-1(-0.3+6y)=0.9-0.5y equation: 


Simplifying
5y + -1(-0.3 + 6y) = 0.9 + -0.5y
5y + (-0.3 * -1 + 6y * -1) = 0.9 + -0.5y
5y + (0.3 + -6y) = 0.9 + -0.5y

Reorder the terms:
0.3 + 5y + -6y = 0.9 + -0.5y

Combine like terms: 5y + -6y = -1y
0.3 + -1y = 0.9 + -0.5y

Solving
0.3 + -1y = 0.9 + -0.5y

Solving for variable 'y'.

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

Add '0.5y' to each side of the equation.
0.3 + -1y + 0.5y = 0.9 + -0.5y + 0.5y

Combine like terms: -1y + 0.5y = -0.5y
0.3 + -0.5y = 0.9 + -0.5y + 0.5y

Combine like terms: -0.5y + 0.5y = 0.0
0.3 + -0.5y = 0.9 + 0.0
0.3 + -0.5y = 0.9

Add '-0.3' to each side of the equation.
0.3 + -0.3 + -0.5y = 0.9 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.5y = 0.9 + -0.3
-0.5y = 0.9 + -0.3

Combine like terms: 0.9 + -0.3 = 0.6
-0.5y = 0.6

Divide each side by '-0.5'.
y = -1.2

Simplifying
y = -1.2

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