6(y+4)=-4y-6

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


Simplifying
6(y + 4) = -4y + -6

Reorder the terms:
6(4 + y) = -4y + -6
(4 * 6 + y * 6) = -4y + -6
(24 + 6y) = -4y + -6

Reorder the terms:
24 + 6y = -6 + -4y

Solving
24 + 6y = -6 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
24 + 6y + 4y = -6 + -4y + 4y

Combine like terms: 6y + 4y = 10y
24 + 10y = -6 + -4y + 4y

Combine like terms: -4y + 4y = 0
24 + 10y = -6 + 0
24 + 10y = -6

Add '-24' to each side of the equation.
24 + -24 + 10y = -6 + -24

Combine like terms: 24 + -24 = 0
0 + 10y = -6 + -24
10y = -6 + -24

Combine like terms: -6 + -24 = -30
10y = -30

Divide each side by '10'.
y = -3

Simplifying
y = -3

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