y+0.4y-6.8=-5.2(y-2.5)

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Solution for y+0.4y-6.8=-5.2(y-2.5) equation: 


Simplifying
y + 0.4y + -6.8 = -5.2(y + -2.5)

Reorder the terms:
-6.8 + y + 0.4y = -5.2(y + -2.5)

Combine like terms: y + 0.4y = 1.4y
-6.8 + 1.4y = -5.2(y + -2.5)

Reorder the terms:
-6.8 + 1.4y = -5.2(-2.5 + y)
-6.8 + 1.4y = (-2.5 * -5.2 + y * -5.2)
-6.8 + 1.4y = (13 + -5.2y)

Solving
-6.8 + 1.4y = 13 + -5.2y

Solving for variable 'y'.

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

Add '5.2y' to each side of the equation.
-6.8 + 1.4y + 5.2y = 13 + -5.2y + 5.2y

Combine like terms: 1.4y + 5.2y = 6.6y
-6.8 + 6.6y = 13 + -5.2y + 5.2y

Combine like terms: -5.2y + 5.2y = 0.0
-6.8 + 6.6y = 13 + 0.0
-6.8 + 6.6y = 13

Add '6.8' to each side of the equation.
-6.8 + 6.8 + 6.6y = 13 + 6.8

Combine like terms: -6.8 + 6.8 = 0.0
0.0 + 6.6y = 13 + 6.8
6.6y = 13 + 6.8

Combine like terms: 13 + 6.8 = 19.8
6.6y = 19.8

Divide each side by '6.6'.
y = 3

Simplifying
y = 3

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