y-0.6y+2.8=-3(y-6.6)

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Solution for y-0.6y+2.8=-3(y-6.6) equation:


Simplifying
y + -0.6y + 2.8 = -3(y + -6.6)

Reorder the terms:
2.8 + y + -0.6y = -3(y + -6.6)

Combine like terms: y + -0.6y = 0.4y
2.8 + 0.4y = -3(y + -6.6)

Reorder the terms:
2.8 + 0.4y = -3(-6.6 + y)
2.8 + 0.4y = (-6.6 * -3 + y * -3)
2.8 + 0.4y = (19.8 + -3y)

Solving
2.8 + 0.4y = 19.8 + -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.
2.8 + 0.4y + 3y = 19.8 + -3y + 3y

Combine like terms: 0.4y + 3y = 3.4y
2.8 + 3.4y = 19.8 + -3y + 3y

Combine like terms: -3y + 3y = 0
2.8 + 3.4y = 19.8 + 0
2.8 + 3.4y = 19.8

Add '-2.8' to each side of the equation.
2.8 + -2.8 + 3.4y = 19.8 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 3.4y = 19.8 + -2.8
3.4y = 19.8 + -2.8

Combine like terms: 19.8 + -2.8 = 17
3.4y = 17

Divide each side by '3.4'.
y = 5

Simplifying
y = 5

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