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

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

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

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

Reorder the terms:
6 + -7 + -6y = 2(y + 3)

Combine like terms: 6 + -7 = -1
-1 + -6y = 2(y + 3)

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

Solving
-1 + -6y = 6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-1 + -6y + -2y = 6 + 2y + -2y

Combine like terms: -6y + -2y = -8y
-1 + -8y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-1 + -8y = 6 + 0
-1 + -8y = 6

Add '1' to each side of the equation.
-1 + 1 + -8y = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -8y = 6 + 1
-8y = 6 + 1

Combine like terms: 6 + 1 = 7
-8y = 7

Divide each side by '-8'.
y = -0.875

Simplifying
y = -0.875