y-3y+5.5=-6(y-3.6)

Solution for y-3y+5.5=-6(y-3.6) equation:

Simplifying
y + -3y + 5.5 = -6(y + -3.6)

Reorder the terms:
5.5 + y + -3y = -6(y + -3.6)

Combine like terms: y + -3y = -2y
5.5 + -2y = -6(y + -3.6)

Reorder the terms:
5.5 + -2y = -6(-3.6 + y)
5.5 + -2y = (-3.6 * -6 + y * -6)
5.5 + -2y = (21.6 + -6y)

Solving
5.5 + -2y = 21.6 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
5.5 + -2y + 6y = 21.6 + -6y + 6y

Combine like terms: -2y + 6y = 4y
5.5 + 4y = 21.6 + -6y + 6y

Combine like terms: -6y + 6y = 0
5.5 + 4y = 21.6 + 0
5.5 + 4y = 21.6

Add '-5.5' to each side of the equation.
5.5 + -5.5 + 4y = 21.6 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 4y = 21.6 + -5.5
4y = 21.6 + -5.5

Combine like terms: 21.6 + -5.5 = 16.1
4y = 16.1

Divide each side by '4'.
y = 4.025

Simplifying
y = 4.025