-3(Y-2Y)+4=-4(5Y-Y)+7+18Y

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Solution for -3(Y-2Y)+4=-4(5Y-Y)+7+18Y equation: 


Simplifying
-3(Y + -2Y) + 4 = -4(5Y + -1Y) + 7 + 18Y

Combine like terms: Y + -2Y = -1Y
-3(-1Y) + 4 = -4(5Y + -1Y) + 7 + 18Y

Remove parenthesis around (-1Y)
-3 * -1Y + 4 = -4(5Y + -1Y) + 7 + 18Y

Multiply -3 * -1
3Y + 4 = -4(5Y + -1Y) + 7 + 18Y

Reorder the terms:
4 + 3Y = -4(5Y + -1Y) + 7 + 18Y

Combine like terms: 5Y + -1Y = 4Y
4 + 3Y = -4(4Y) + 7 + 18Y

Remove parenthesis around (4Y)
4 + 3Y = -4 * 4Y + 7 + 18Y

Multiply -4 * 4
4 + 3Y = -16Y + 7 + 18Y

Reorder the terms:
4 + 3Y = 7 + -16Y + 18Y

Combine like terms: -16Y + 18Y = 2Y
4 + 3Y = 7 + 2Y

Solving
4 + 3Y = 7 + 2Y

Solving for variable 'Y'.

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

Add '-2Y' to each side of the equation.
4 + 3Y + -2Y = 7 + 2Y + -2Y

Combine like terms: 3Y + -2Y = 1Y
4 + 1Y = 7 + 2Y + -2Y

Combine like terms: 2Y + -2Y = 0
4 + 1Y = 7 + 0
4 + 1Y = 7

Add '-4' to each side of the equation.
4 + -4 + 1Y = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 1Y = 7 + -4
1Y = 7 + -4

Combine like terms: 7 + -4 = 3
1Y = 3

Divide each side by '1'.
Y = 3

Simplifying
Y = 3

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