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(1 + 4 + -4y)

Combine like terms: 1 + 4 = 5
-5 + 3.2y = 3 + 2(5 + -4y)
-5 + 3.2y = 3 + (5 * 2 + -4y * 2)
-5 + 3.2y = 3 + (10 + -8y)

Combine like terms: 3 + 10 = 13
-5 + 3.2y = 13 + -8y

Solving
-5 + 3.2y = 13 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-5 + 3.2y + 8y = 13 + -8y + 8y

Combine like terms: 3.2y + 8y = 11.2y
-5 + 11.2y = 13 + -8y + 8y

Combine like terms: -8y + 8y = 0
-5 + 11.2y = 13 + 0
-5 + 11.2y = 13

Add '5' to each side of the equation.
-5 + 5 + 11.2y = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 11.2y = 13 + 5
11.2y = 13 + 5

Combine like terms: 13 + 5 = 18
11.2y = 18

Divide each side by '11.2'.
y = 1.607142857

Simplifying
y = 1.607142857

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