3y=(x-2)+5(x+2y)

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Solution for 3y=(x-2)+5(x+2y) equation:


Simplifying
3y = (x + -2) + 5(x + 2y)

Reorder the terms:
3y = (-2 + x) + 5(x + 2y)

Remove parenthesis around (-2 + x)
3y = -2 + x + 5(x + 2y)
3y = -2 + x + (x * 5 + 2y * 5)
3y = -2 + x + (5x + 10y)

Combine like terms: x + 5x = 6x
3y = -2 + 6x + 10y

Solving
3y = -2 + 6x + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
3y + -10y = -2 + 6x + 10y + -10y

Combine like terms: 3y + -10y = -7y
-7y = -2 + 6x + 10y + -10y

Combine like terms: 10y + -10y = 0
-7y = -2 + 6x + 0
-7y = -2 + 6x

Divide each side by '-7'.
y = 0.2857142857 + -0.8571428571x

Simplifying
y = 0.2857142857 + -0.8571428571x

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