-3(y+4)=y-2+4(2y+1)

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Solution for -3(y+4)=y-2+4(2y+1) equation:


Simplifying
-3(y + 4) = y + -2 + 4(2y + 1)

Reorder the terms:
-3(4 + y) = y + -2 + 4(2y + 1)
(4 * -3 + y * -3) = y + -2 + 4(2y + 1)
(-12 + -3y) = y + -2 + 4(2y + 1)

Reorder the terms:
-12 + -3y = y + -2 + 4(1 + 2y)
-12 + -3y = y + -2 + (1 * 4 + 2y * 4)
-12 + -3y = y + -2 + (4 + 8y)

Reorder the terms:
-12 + -3y = -2 + 4 + y + 8y

Combine like terms: -2 + 4 = 2
-12 + -3y = 2 + y + 8y

Combine like terms: y + 8y = 9y
-12 + -3y = 2 + 9y

Solving
-12 + -3y = 2 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-12 + -3y + -9y = 2 + 9y + -9y

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

Combine like terms: 9y + -9y = 0
-12 + -12y = 2 + 0
-12 + -12y = 2

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

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

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

Divide each side by '-12'.
y = -1.166666667

Simplifying
y = -1.166666667

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