Y-4(y+3)=3y+12

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Solution for Y-4(y+3)=3y+12 equation: 


Simplifying
Y + -4(y + 3) = 3y + 12

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

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

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

Solving
-12 + Y + -4y = 12 + 3y

Solving for variable 'Y'.

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

Add '12' to each side of the equation.
-12 + Y + 12 + -4y = 12 + 12 + 3y

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

Combine like terms: -12 + 12 = 0
0 + Y + -4y = 12 + 12 + 3y
Y + -4y = 12 + 12 + 3y

Combine like terms: 12 + 12 = 24
Y + -4y = 24 + 3y

Add '4y' to each side of the equation.
Y + -4y + 4y = 24 + 3y + 4y

Combine like terms: -4y + 4y = 0
Y + 0 = 24 + 3y + 4y
Y = 24 + 3y + 4y

Combine like terms: 3y + 4y = 7y
Y = 24 + 7y

Simplifying
Y = 24 + 7y

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