6(y+1)-10=4-(y+6)

Solution for 6(y+1)-10=4-(y+6) equation:

Simplifying
6(y + 1) + -10 = 4 + -1(y + 6)

Reorder the terms:
6(1 + y) + -10 = 4 + -1(y + 6)
(1 * 6 + y * 6) + -10 = 4 + -1(y + 6)
(6 + 6y) + -10 = 4 + -1(y + 6)

Reorder the terms:
6 + -10 + 6y = 4 + -1(y + 6)

Combine like terms: 6 + -10 = -4
-4 + 6y = 4 + -1(y + 6)

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

Combine like terms: 4 + -6 = -2
-4 + 6y = -2 + -1y

Solving
-4 + 6y = -2 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-4 + 6y + y = -2 + -1y + y

Combine like terms: 6y + y = 7y
-4 + 7y = -2 + -1y + y

Combine like terms: -1y + y = 0
-4 + 7y = -2 + 0
-4 + 7y = -2

Add '4' to each side of the equation.
-4 + 4 + 7y = -2 + 4

Combine like terms: -4 + 4 = 0
0 + 7y = -2 + 4
7y = -2 + 4

Combine like terms: -2 + 4 = 2
7y = 2

Divide each side by '7'.
y = 0.2857142857

Simplifying
y = 0.2857142857