1.6(4-y)-0.8(2y-3)=0

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Solution for 1.6(4-y)-0.8(2y-3)=0 equation: 


Simplifying
1.6(4 + -1y) + -0.8(2y + -3) = 0
(4 * 1.6 + -1y * 1.6) + -0.8(2y + -3) = 0
(6.4 + -1.6y) + -0.8(2y + -3) = 0

Reorder the terms:
6.4 + -1.6y + -0.8(-3 + 2y) = 0
6.4 + -1.6y + (-3 * -0.8 + 2y * -0.8) = 0
6.4 + -1.6y + (2.4 + -1.6y) = 0

Reorder the terms:
6.4 + 2.4 + -1.6y + -1.6y = 0

Combine like terms: 6.4 + 2.4 = 8.8
8.8 + -1.6y + -1.6y = 0

Combine like terms: -1.6y + -1.6y = -3.2y
8.8 + -3.2y = 0

Solving
8.8 + -3.2y = 0

Solving for variable 'y'.

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

Add '-8.8' to each side of the equation.
8.8 + -8.8 + -3.2y = 0 + -8.8

Combine like terms: 8.8 + -8.8 = 0.0
0.0 + -3.2y = 0 + -8.8
-3.2y = 0 + -8.8

Combine like terms: 0 + -8.8 = -8.8
-3.2y = -8.8

Divide each side by '-3.2'.
y = 2.75

Simplifying
y = 2.75

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