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

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


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

Reorder the terms:
Y + -3(5 + y) = y + -6
Y + (5 * -3 + y * -3) = y + -6
Y + (-15 + -3y) = y + -6

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

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

Solving
-15 + Y + -3y = -6 + y

Solving for variable 'Y'.

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

Add '15' to each side of the equation.
-15 + Y + 15 + -3y = -6 + 15 + y

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

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

Combine like terms: -6 + 15 = 9
Y + -3y = 9 + y

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

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

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

Simplifying
Y = 9 + 4y

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