y-0.7y-4.2=3.3(y+6)

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Solution for y-0.7y-4.2=3.3(y+6) equation: 


Simplifying
y + -0.7y + -4.2 = 3.3(y + 6)

Reorder the terms:
-4.2 + y + -0.7y = 3.3(y + 6)

Combine like terms: y + -0.7y = 0.3y
-4.2 + 0.3y = 3.3(y + 6)

Reorder the terms:
-4.2 + 0.3y = 3.3(6 + y)
-4.2 + 0.3y = (6 * 3.3 + y * 3.3)
-4.2 + 0.3y = (19.8 + 3.3y)

Solving
-4.2 + 0.3y = 19.8 + 3.3y

Solving for variable 'y'.

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

Add '-3.3y' to each side of the equation.
-4.2 + 0.3y + -3.3y = 19.8 + 3.3y + -3.3y

Combine like terms: 0.3y + -3.3y = -3y
-4.2 + -3y = 19.8 + 3.3y + -3.3y

Combine like terms: 3.3y + -3.3y = 0.0
-4.2 + -3y = 19.8 + 0.0
-4.2 + -3y = 19.8

Add '4.2' to each side of the equation.
-4.2 + 4.2 + -3y = 19.8 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + -3y = 19.8 + 4.2
-3y = 19.8 + 4.2

Combine like terms: 19.8 + 4.2 = 24
-3y = 24

Divide each side by '-3'.
y = -8

Simplifying
y = -8

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