(4y+6)-(5+3Y)=6

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Solution for (4y+6)-(5+3Y)=6 equation:


Simplifying
(4y + 6) + -1(5 + 3Y) = 6

Reorder the terms:
(6 + 4y) + -1(5 + 3Y) = 6

Remove parenthesis around (6 + 4y)
6 + 4y + -1(5 + 3Y) = 6
6 + 4y + (5 * -1 + 3Y * -1) = 6
6 + 4y + (-5 + -3Y) = 6

Reorder the terms:
6 + -5 + -3Y + 4y = 6

Combine like terms: 6 + -5 = 1
1 + -3Y + 4y = 6

Solving
1 + -3Y + 4y = 6

Solving for variable 'Y'.

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

Add '-1' to each side of the equation.
1 + -3Y + -1 + 4y = 6 + -1

Reorder the terms:
1 + -1 + -3Y + 4y = 6 + -1

Combine like terms: 1 + -1 = 0
0 + -3Y + 4y = 6 + -1
-3Y + 4y = 6 + -1

Combine like terms: 6 + -1 = 5
-3Y + 4y = 5

Add '-4y' to each side of the equation.
-3Y + 4y + -4y = 5 + -4y

Combine like terms: 4y + -4y = 0
-3Y + 0 = 5 + -4y
-3Y = 5 + -4y

Divide each side by '-3'.
Y = -1.666666667 + 1.333333333y

Simplifying
Y = -1.666666667 + 1.333333333y

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