3(5-Y)=(3Y+4)

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Solution for 3(5-Y)=(3Y+4) equation:


Simplifying
3(5 + -1Y) = (3Y + 4)
(5 * 3 + -1Y * 3) = (3Y + 4)
(15 + -3Y) = (3Y + 4)

Reorder the terms:
15 + -3Y = (4 + 3Y)

Remove parenthesis around (4 + 3Y)
15 + -3Y = 4 + 3Y

Solving
15 + -3Y = 4 + 3Y

Solving for variable 'Y'.

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

Add '-3Y' to each side of the equation.
15 + -3Y + -3Y = 4 + 3Y + -3Y

Combine like terms: -3Y + -3Y = -6Y
15 + -6Y = 4 + 3Y + -3Y

Combine like terms: 3Y + -3Y = 0
15 + -6Y = 4 + 0
15 + -6Y = 4

Add '-15' to each side of the equation.
15 + -15 + -6Y = 4 + -15

Combine like terms: 15 + -15 = 0
0 + -6Y = 4 + -15
-6Y = 4 + -15

Combine like terms: 4 + -15 = -11
-6Y = -11

Divide each side by '-6'.
Y = 1.833333333

Simplifying
Y = 1.833333333

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