5y+2(y-6)=(y+1)-4

Solution for 5y+2(y-6)=(y+1)-4 equation:

Simplifying
5y + 2(y + -6) = (y + 1) + -4

Reorder the terms:
5y + 2(-6 + y) = (y + 1) + -4
5y + (-6 * 2 + y * 2) = (y + 1) + -4
5y + (-12 + 2y) = (y + 1) + -4

Reorder the terms:
-12 + 5y + 2y = (y + 1) + -4

Combine like terms: 5y + 2y = 7y
-12 + 7y = (y + 1) + -4

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

Remove parenthesis around (1 + y)
-12 + 7y = 1 + y + -4

Reorder the terms:
-12 + 7y = 1 + -4 + y

Combine like terms: 1 + -4 = -3
-12 + 7y = -3 + y

Solving
-12 + 7y = -3 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-12 + 7y + -1y = -3 + y + -1y

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

Combine like terms: y + -1y = 0
-12 + 6y = -3 + 0
-12 + 6y = -3

Add '12' to each side of the equation.
-12 + 12 + 6y = -3 + 12

Combine like terms: -12 + 12 = 0
0 + 6y = -3 + 12
6y = -3 + 12

Combine like terms: -3 + 12 = 9
6y = 9

Divide each side by '6'.
y = 1.5

Simplifying
y = 1.5