10.4=4(Y-4.6)

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Solution for 10.4=4(Y-4.6) equation: 


Simplifying
10.4 = 4(Y + -4.6)

Reorder the terms:
10.4 = 4(-4.6 + Y)
10.4 = (-4.6 * 4 + Y * 4)
10.4 = (-18.4 + 4Y)

Solving
10.4 = -18.4 + 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.
10.4 + -4Y = -18.4 + 4Y + -4Y

Combine like terms: 4Y + -4Y = 0
10.4 + -4Y = -18.4 + 0
10.4 + -4Y = -18.4

Add '-10.4' to each side of the equation.
10.4 + -10.4 + -4Y = -18.4 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + -4Y = -18.4 + -10.4
-4Y = -18.4 + -10.4

Combine like terms: -18.4 + -10.4 = -28.8
-4Y = -28.8

Divide each side by '-4'.
Y = 7.2

Simplifying
Y = 7.2

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