3y-(9y+8)=7-(12y-4)

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Solution for 3y-(9y+8)=7-(12y-4) equation:


Simplifying
3y + -1(9y + 8) = 7 + -1(12y + -4)

Reorder the terms:
3y + -1(8 + 9y) = 7 + -1(12y + -4)
3y + (8 * -1 + 9y * -1) = 7 + -1(12y + -4)
3y + (-8 + -9y) = 7 + -1(12y + -4)

Reorder the terms:
-8 + 3y + -9y = 7 + -1(12y + -4)

Combine like terms: 3y + -9y = -6y
-8 + -6y = 7 + -1(12y + -4)

Reorder the terms:
-8 + -6y = 7 + -1(-4 + 12y)
-8 + -6y = 7 + (-4 * -1 + 12y * -1)
-8 + -6y = 7 + (4 + -12y)

Combine like terms: 7 + 4 = 11
-8 + -6y = 11 + -12y

Solving
-8 + -6y = 11 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
-8 + -6y + 12y = 11 + -12y + 12y

Combine like terms: -6y + 12y = 6y
-8 + 6y = 11 + -12y + 12y

Combine like terms: -12y + 12y = 0
-8 + 6y = 11 + 0
-8 + 6y = 11

Add '8' to each side of the equation.
-8 + 8 + 6y = 11 + 8

Combine like terms: -8 + 8 = 0
0 + 6y = 11 + 8
6y = 11 + 8

Combine like terms: 11 + 8 = 19
6y = 19

Divide each side by '6'.
y = 3.166666667

Simplifying
y = 3.166666667

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