6y+3(y-4)=6(y+1)-4

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Solution for 6y+3(y-4)=6(y+1)-4 equation:


Simplifying
6y + 3(y + -4) = 6(y + 1) + -4

Reorder the terms:
6y + 3(-4 + y) = 6(y + 1) + -4
6y + (-4 * 3 + y * 3) = 6(y + 1) + -4
6y + (-12 + 3y) = 6(y + 1) + -4

Reorder the terms:
-12 + 6y + 3y = 6(y + 1) + -4

Combine like terms: 6y + 3y = 9y
-12 + 9y = 6(y + 1) + -4

Reorder the terms:
-12 + 9y = 6(1 + y) + -4
-12 + 9y = (1 * 6 + y * 6) + -4
-12 + 9y = (6 + 6y) + -4

Reorder the terms:
-12 + 9y = 6 + -4 + 6y

Combine like terms: 6 + -4 = 2
-12 + 9y = 2 + 6y

Solving
-12 + 9y = 2 + 6y

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.
-12 + 9y + -6y = 2 + 6y + -6y

Combine like terms: 9y + -6y = 3y
-12 + 3y = 2 + 6y + -6y

Combine like terms: 6y + -6y = 0
-12 + 3y = 2 + 0
-12 + 3y = 2

Add '12' to each side of the equation.
-12 + 12 + 3y = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 3y = 2 + 12
3y = 2 + 12

Combine like terms: 2 + 12 = 14
3y = 14

Divide each side by '3'.
y = 4.666666667

Simplifying
y = 4.666666667

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