(Y-2)+15=-3(y-3)+6y

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Solution for (Y-2)+15=-3(y-3)+6y equation:


Simplifying
(Y + -2) + 15 = -3(y + -3) + 6y

Reorder the terms:
(-2 + Y) + 15 = -3(y + -3) + 6y

Remove parenthesis around (-2 + Y)
-2 + Y + 15 = -3(y + -3) + 6y

Reorder the terms:
-2 + 15 + Y = -3(y + -3) + 6y

Combine like terms: -2 + 15 = 13
13 + Y = -3(y + -3) + 6y

Reorder the terms:
13 + Y = -3(-3 + y) + 6y
13 + Y = (-3 * -3 + y * -3) + 6y
13 + Y = (9 + -3y) + 6y

Combine like terms: -3y + 6y = 3y
13 + Y = 9 + 3y

Solving
13 + Y = 9 + 3y

Solving for variable 'Y'.

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

Add '-13' to each side of the equation.
13 + -13 + Y = 9 + -13 + 3y

Combine like terms: 13 + -13 = 0
0 + Y = 9 + -13 + 3y
Y = 9 + -13 + 3y

Combine like terms: 9 + -13 = -4
Y = -4 + 3y

Simplifying
Y = -4 + 3y

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