6y+5(-9y+8)=20+5y

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Solution for 6y+5(-9y+8)=20+5y equation: 


Simplifying
6y + 5(-9y + 8) = 20 + 5y

Reorder the terms:
6y + 5(8 + -9y) = 20 + 5y
6y + (8 * 5 + -9y * 5) = 20 + 5y
6y + (40 + -45y) = 20 + 5y

Reorder the terms:
40 + 6y + -45y = 20 + 5y

Combine like terms: 6y + -45y = -39y
40 + -39y = 20 + 5y

Solving
40 + -39y = 20 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
40 + -39y + -5y = 20 + 5y + -5y

Combine like terms: -39y + -5y = -44y
40 + -44y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
40 + -44y = 20 + 0
40 + -44y = 20

Add '-40' to each side of the equation.
40 + -40 + -44y = 20 + -40

Combine like terms: 40 + -40 = 0
0 + -44y = 20 + -40
-44y = 20 + -40

Combine like terms: 20 + -40 = -20
-44y = -20

Divide each side by '-44'.
y = 0.4545454545

Simplifying
y = 0.4545454545

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