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

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


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

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

Combine like terms: y + -5.5y = -4.5y
3.9 + -4.5y = -3(y + 0.7)

Reorder the terms:
3.9 + -4.5y = -3(0.7 + y)
3.9 + -4.5y = (0.7 * -3 + y * -3)
3.9 + -4.5y = (-2.1 + -3y)

Solving
3.9 + -4.5y = -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.
3.9 + -4.5y + 3y = -2.1 + -3y + 3y

Combine like terms: -4.5y + 3y = -1.5y
3.9 + -1.5y = -2.1 + -3y + 3y

Combine like terms: -3y + 3y = 0
3.9 + -1.5y = -2.1 + 0
3.9 + -1.5y = -2.1

Add '-3.9' to each side of the equation.
3.9 + -3.9 + -1.5y = -2.1 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + -1.5y = -2.1 + -3.9
-1.5y = -2.1 + -3.9

Combine like terms: -2.1 + -3.9 = -6
-1.5y = -6

Divide each side by '-1.5'.
y = 4

Simplifying
y = 4

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