2y-6=44(y+3)

Solution for 2y-6=44(y+3) equation:

Simplifying
2y + -6 = 44(y + 3)

Reorder the terms:
-6 + 2y = 44(y + 3)

Reorder the terms:
-6 + 2y = 44(3 + y)
-6 + 2y = (3 * 44 + y * 44)
-6 + 2y = (132 + 44y)

Solving
-6 + 2y = 132 + 44y

Solving for variable 'y'.

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

Add '-44y' to each side of the equation.
-6 + 2y + -44y = 132 + 44y + -44y

Combine like terms: 2y + -44y = -42y
-6 + -42y = 132 + 44y + -44y

Combine like terms: 44y + -44y = 0
-6 + -42y = 132 + 0
-6 + -42y = 132

Add '6' to each side of the equation.
-6 + 6 + -42y = 132 + 6

Combine like terms: -6 + 6 = 0
0 + -42y = 132 + 6
-42y = 132 + 6

Combine like terms: 132 + 6 = 138
-42y = 138

Divide each side by '-42'.
y = -3.285714286

Simplifying
y = -3.285714286