3(2y-2)-4(y+6)=3y+8+y

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Solution for 3(2y-2)-4(y+6)=3y+8+y equation:


Simplifying
3(2y + -2) + -4(y + 6) = 3y + 8 + y

Reorder the terms:
3(-2 + 2y) + -4(y + 6) = 3y + 8 + y
(-2 * 3 + 2y * 3) + -4(y + 6) = 3y + 8 + y
(-6 + 6y) + -4(y + 6) = 3y + 8 + y

Reorder the terms:
-6 + 6y + -4(6 + y) = 3y + 8 + y
-6 + 6y + (6 * -4 + y * -4) = 3y + 8 + y
-6 + 6y + (-24 + -4y) = 3y + 8 + y

Reorder the terms:
-6 + -24 + 6y + -4y = 3y + 8 + y

Combine like terms: -6 + -24 = -30
-30 + 6y + -4y = 3y + 8 + y

Combine like terms: 6y + -4y = 2y
-30 + 2y = 3y + 8 + y

Reorder the terms:
-30 + 2y = 8 + 3y + y

Combine like terms: 3y + y = 4y
-30 + 2y = 8 + 4y

Solving
-30 + 2y = 8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-30 + 2y + -4y = 8 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-30 + -2y = 8 + 4y + -4y

Combine like terms: 4y + -4y = 0
-30 + -2y = 8 + 0
-30 + -2y = 8

Add '30' to each side of the equation.
-30 + 30 + -2y = 8 + 30

Combine like terms: -30 + 30 = 0
0 + -2y = 8 + 30
-2y = 8 + 30

Combine like terms: 8 + 30 = 38
-2y = 38

Divide each side by '-2'.
y = -19

Simplifying
y = -19

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