6(8.2-y)=4(y+5.6)

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Solution for 6(8.2-y)=4(y+5.6) equation: 


Simplifying
6(8.2 + -1y) = 4(y + 5.6)
(8.2 * 6 + -1y * 6) = 4(y + 5.6)
(49.2 + -6y) = 4(y + 5.6)

Reorder the terms:
49.2 + -6y = 4(5.6 + y)
49.2 + -6y = (5.6 * 4 + y * 4)
49.2 + -6y = (22.4 + 4y)

Solving
49.2 + -6y = 22.4 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
49.2 + -6y + -4y = 22.4 + 4y + -4y

Combine like terms: -6y + -4y = -10y
49.2 + -10y = 22.4 + 4y + -4y

Combine like terms: 4y + -4y = 0
49.2 + -10y = 22.4 + 0
49.2 + -10y = 22.4

Add '-49.2' to each side of the equation.
49.2 + -49.2 + -10y = 22.4 + -49.2

Combine like terms: 49.2 + -49.2 = 0.0
0.0 + -10y = 22.4 + -49.2
-10y = 22.4 + -49.2

Combine like terms: 22.4 + -49.2 = -26.8
-10y = -26.8

Divide each side by '-10'.
y = 2.68

Simplifying
y = 2.68

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