y-6.8y-4.6=-3.2(y+5.5)

Solution for y-6.8y-4.6=-3.2(y+5.5) equation:

Simplifying
y + -6.8y + -4.6 = -3.2(y + 5.5)

Reorder the terms:
-4.6 + y + -6.8y = -3.2(y + 5.5)

Combine like terms: y + -6.8y = -5.8y
-4.6 + -5.8y = -3.2(y + 5.5)

Reorder the terms:
-4.6 + -5.8y = -3.2(5.5 + y)
-4.6 + -5.8y = (5.5 * -3.2 + y * -3.2)
-4.6 + -5.8y = (-17.6 + -3.2y)

Solving
-4.6 + -5.8y = -17.6 + -3.2y

Solving for variable 'y'.

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

Add '3.2y' to each side of the equation.
-4.6 + -5.8y + 3.2y = -17.6 + -3.2y + 3.2y

Combine like terms: -5.8y + 3.2y = -2.6y
-4.6 + -2.6y = -17.6 + -3.2y + 3.2y

Combine like terms: -3.2y + 3.2y = 0.0
-4.6 + -2.6y = -17.6 + 0.0
-4.6 + -2.6y = -17.6

Add '4.6' to each side of the equation.
-4.6 + 4.6 + -2.6y = -17.6 + 4.6

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + -2.6y = -17.6 + 4.6
-2.6y = -17.6 + 4.6

Combine like terms: -17.6 + 4.6 = -13
-2.6y = -13

Divide each side by '-2.6'.
y = 5

Simplifying
y = 5