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

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


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

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

Reorder the terms:
-6 + -2Y = 6(3 + Y)
-6 + -2Y = (3 * 6 + Y * 6)
-6 + -2Y = (18 + 6Y)

Solving
-6 + -2Y = 18 + 6Y

Solving for variable 'Y'.

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

Add '-6Y' to each side of the equation.
-6 + -2Y + -6Y = 18 + 6Y + -6Y

Combine like terms: -2Y + -6Y = -8Y
-6 + -8Y = 18 + 6Y + -6Y

Combine like terms: 6Y + -6Y = 0
-6 + -8Y = 18 + 0
-6 + -8Y = 18

Add '6' to each side of the equation.
-6 + 6 + -8Y = 18 + 6

Combine like terms: -6 + 6 = 0
0 + -8Y = 18 + 6
-8Y = 18 + 6

Combine like terms: 18 + 6 = 24
-8Y = 24

Divide each side by '-8'.
Y = -3

Simplifying
Y = -3

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