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

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

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

Reorder the terms:
2(-5 + y) + -1(y + 6) = (-4)
(-5 * 2 + y * 2) + -1(y + 6) = (-4)
(-10 + 2y) + -1(y + 6) = (-4)

Reorder the terms:
-10 + 2y + -1(6 + y) = (-4)
-10 + 2y + (6 * -1 + y * -1) = (-4)
-10 + 2y + (-6 + -1y) = (-4)

Reorder the terms:
-10 + -6 + 2y + -1y = (-4)

Combine like terms: -10 + -6 = -16
-16 + 2y + -1y = (-4)

Combine like terms: 2y + -1y = 1y
-16 + 1y = (-4)
-16 + 1y = -4

Solving
-16 + 1y = -4

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + 1y = -4 + 16

Combine like terms: -16 + 16 = 0
0 + 1y = -4 + 16
1y = -4 + 16

Combine like terms: -4 + 16 = 12
1y = 12

Divide each side by '1'.
y = 12

Simplifying
y = 12