Y+2-6y=-4(y+-3)

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Solution for Y+2-6y=-4(y+-3) equation: 


Simplifying
Y + 2 + -6y = -4(y + -3)

Reorder the terms:
2 + Y + -6y = -4(y + -3)

Reorder the terms:
2 + Y + -6y = -4(-3 + y)
2 + Y + -6y = (-3 * -4 + y * -4)
2 + Y + -6y = (12 + -4y)

Solving
2 + Y + -6y = 12 + -4y

Solving for variable 'Y'.

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

Add '-2' to each side of the equation.
2 + Y + -2 + -6y = 12 + -2 + -4y

Reorder the terms:
2 + -2 + Y + -6y = 12 + -2 + -4y

Combine like terms: 2 + -2 = 0
0 + Y + -6y = 12 + -2 + -4y
Y + -6y = 12 + -2 + -4y

Combine like terms: 12 + -2 = 10
Y + -6y = 10 + -4y

Add '6y' to each side of the equation.
Y + -6y + 6y = 10 + -4y + 6y

Combine like terms: -6y + 6y = 0
Y + 0 = 10 + -4y + 6y
Y = 10 + -4y + 6y

Combine like terms: -4y + 6y = 2y
Y = 10 + 2y

Simplifying
Y = 10 + 2y

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