9-6(2y+1)=3-7(y-1)

Solution for 9-6(2y+1)=3-7(y-1) equation:

Simplifying
9 + -6(2y + 1) = 3 + -7(y + -1)

Reorder the terms:
9 + -6(1 + 2y) = 3 + -7(y + -1)
9 + (1 * -6 + 2y * -6) = 3 + -7(y + -1)
9 + (-6 + -12y) = 3 + -7(y + -1)

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

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

Combine like terms: 3 + 7 = 10
3 + -12y = 10 + -7y

Solving
3 + -12y = 10 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
3 + -12y + 7y = 10 + -7y + 7y

Combine like terms: -12y + 7y = -5y
3 + -5y = 10 + -7y + 7y

Combine like terms: -7y + 7y = 0
3 + -5y = 10 + 0
3 + -5y = 10

Add '-3' to each side of the equation.
3 + -3 + -5y = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -5y = 10 + -3
-5y = 10 + -3

Combine like terms: 10 + -3 = 7
-5y = 7

Divide each side by '-5'.
y = -1.4

Simplifying
y = -1.4