y-3.8y-6=-1.9(y+6)

Solution for y-3.8y-6=-1.9(y+6) equation:

Simplifying
y + -3.8y + -6 = -1.9(y + 6)

Reorder the terms:
-6 + y + -3.8y = -1.9(y + 6)

Combine like terms: y + -3.8y = -2.8y
-6 + -2.8y = -1.9(y + 6)

Reorder the terms:
-6 + -2.8y = -1.9(6 + y)
-6 + -2.8y = (6 * -1.9 + y * -1.9)
-6 + -2.8y = (-11.4 + -1.9y)

Solving
-6 + -2.8y = -11.4 + -1.9y

Solving for variable 'y'.

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

Add '1.9y' to each side of the equation.
-6 + -2.8y + 1.9y = -11.4 + -1.9y + 1.9y

Combine like terms: -2.8y + 1.9y = -0.9y
-6 + -0.9y = -11.4 + -1.9y + 1.9y

Combine like terms: -1.9y + 1.9y = 0.0
-6 + -0.9y = -11.4 + 0.0
-6 + -0.9y = -11.4

Add '6' to each side of the equation.
-6 + 6 + -0.9y = -11.4 + 6

Combine like terms: -6 + 6 = 0
0 + -0.9y = -11.4 + 6
-0.9y = -11.4 + 6

Combine like terms: -11.4 + 6 = -5.4
-0.9y = -5.4

Divide each side by '-0.9'.
y = 6

Simplifying
y = 6