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

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


Simplifying
Y + -3(4 + -2y) = 4(y + -3) + 3y
Y + (4 * -3 + -2y * -3) = 4(y + -3) + 3y
Y + (-12 + 6y) = 4(y + -3) + 3y

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

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

Combine like terms: 4y + 3y = 7y
-12 + Y + 6y = -12 + 7y

Add '12' to each side of the equation.
-12 + Y + 12 + 6y = -12 + 12 + 7y

Reorder the terms:
-12 + 12 + Y + 6y = -12 + 12 + 7y

Combine like terms: -12 + 12 = 0
0 + Y + 6y = -12 + 12 + 7y
Y + 6y = -12 + 12 + 7y

Combine like terms: -12 + 12 = 0
Y + 6y = 0 + 7y
Y + 6y = 7y

Solving
Y + 6y = 7y

Solving for variable 'Y'.

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

Add '-6y' to each side of the equation.
Y + 6y + -6y = 7y + -6y

Combine like terms: 6y + -6y = 0
Y + 0 = 7y + -6y
Y = 7y + -6y

Combine like terms: 7y + -6y = 1y
Y = 1y

Simplifying
Y = 1y

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