y-5.5+3.9=-3(y+0.7)

Solution for y-5.5+3.9=-3(y+0.7) equation:

Simplifying
y + -5.5 + 3.9 = -3(y + 0.7)

Reorder the terms:
-5.5 + 3.9 + y = -3(y + 0.7)

Combine like terms: -5.5 + 3.9 = -1.6
-1.6 + y = -3(y + 0.7)

Reorder the terms:
-1.6 + y = -3(0.7 + y)
-1.6 + y = (0.7 * -3 + y * -3)
-1.6 + y = (-2.1 + -3y)

Solving
-1.6 + y = -2.1 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-1.6 + y + 3y = -2.1 + -3y + 3y

Combine like terms: y + 3y = 4y
-1.6 + 4y = -2.1 + -3y + 3y

Combine like terms: -3y + 3y = 0
-1.6 + 4y = -2.1 + 0
-1.6 + 4y = -2.1

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 4y = -2.1 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 4y = -2.1 + 1.6
4y = -2.1 + 1.6

Combine like terms: -2.1 + 1.6 = -0.5
4y = -0.5

Divide each side by '4'.
y = -0.125

Simplifying
y = -0.125