3.2y-5=3.2(1.4y+4)

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Solution for 3.2y-5=3.2(1.4y+4) equation: 


Simplifying
3.2y + -5 = 3.2(1.4y + 4)

Reorder the terms:
-5 + 3.2y = 3.2(1.4y + 4)

Reorder the terms:
-5 + 3.2y = 3.2(4 + 1.4y)
-5 + 3.2y = (4 * 3.2 + 1.4y * 3.2)
-5 + 3.2y = (12.8 + 4.48y)

Solving
-5 + 3.2y = 12.8 + 4.48y

Solving for variable 'y'.

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

Add '-4.48y' to each side of the equation.
-5 + 3.2y + -4.48y = 12.8 + 4.48y + -4.48y

Combine like terms: 3.2y + -4.48y = -1.28y
-5 + -1.28y = 12.8 + 4.48y + -4.48y

Combine like terms: 4.48y + -4.48y = 0.00
-5 + -1.28y = 12.8 + 0.00
-5 + -1.28y = 12.8

Add '5' to each side of the equation.
-5 + 5 + -1.28y = 12.8 + 5

Combine like terms: -5 + 5 = 0
0 + -1.28y = 12.8 + 5
-1.28y = 12.8 + 5

Combine like terms: 12.8 + 5 = 17.8
-1.28y = 17.8

Divide each side by '-1.28'.
y = -13.90625

Simplifying
y = -13.90625

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