-44-(2y-2)=3(y-2)+4y

Solution for -44-(2y-2)=3(y-2)+4y equation:

Simplifying
-44 + -1(2y + -2) = 3(y + -2) + 4y

Reorder the terms:
-44 + -1(-2 + 2y) = 3(y + -2) + 4y
-44 + (-2 * -1 + 2y * -1) = 3(y + -2) + 4y
-44 + (2 + -2y) = 3(y + -2) + 4y

Combine like terms: -44 + 2 = -42
-42 + -2y = 3(y + -2) + 4y

Reorder the terms:
-42 + -2y = 3(-2 + y) + 4y
-42 + -2y = (-2 * 3 + y * 3) + 4y
-42 + -2y = (-6 + 3y) + 4y

Combine like terms: 3y + 4y = 7y
-42 + -2y = -6 + 7y

Solving
-42 + -2y = -6 + 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.
-42 + -2y + -7y = -6 + 7y + -7y

Combine like terms: -2y + -7y = -9y
-42 + -9y = -6 + 7y + -7y

Combine like terms: 7y + -7y = 0
-42 + -9y = -6 + 0
-42 + -9y = -6

Add '42' to each side of the equation.
-42 + 42 + -9y = -6 + 42

Combine like terms: -42 + 42 = 0
0 + -9y = -6 + 42
-9y = -6 + 42

Combine like terms: -6 + 42 = 36
-9y = 36

Divide each side by '-9'.
y = -4

Simplifying
y = -4