y+0.6y+2.8=5.6(y-4.5)

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Solution for y+0.6y+2.8=5.6(y-4.5) equation: 


Simplifying
y + 0.6y + 2.8 = 5.6(y + -4.5)

Reorder the terms:
2.8 + y + 0.6y = 5.6(y + -4.5)

Combine like terms: y + 0.6y = 1.6y
2.8 + 1.6y = 5.6(y + -4.5)

Reorder the terms:
2.8 + 1.6y = 5.6(-4.5 + y)
2.8 + 1.6y = (-4.5 * 5.6 + y * 5.6)
2.8 + 1.6y = (-25.2 + 5.6y)

Solving
2.8 + 1.6y = -25.2 + 5.6y

Solving for variable 'y'.

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

Add '-5.6y' to each side of the equation.
2.8 + 1.6y + -5.6y = -25.2 + 5.6y + -5.6y

Combine like terms: 1.6y + -5.6y = -4y
2.8 + -4y = -25.2 + 5.6y + -5.6y

Combine like terms: 5.6y + -5.6y = 0.0
2.8 + -4y = -25.2 + 0.0
2.8 + -4y = -25.2

Add '-2.8' to each side of the equation.
2.8 + -2.8 + -4y = -25.2 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -4y = -25.2 + -2.8
-4y = -25.2 + -2.8

Combine like terms: -25.2 + -2.8 = -28
-4y = -28

Divide each side by '-4'.
y = 7

Simplifying
y = 7

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