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

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


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

Reorder the terms:
4(3 + y) = -5y + -6
(3 * 4 + y * 4) = -5y + -6
(12 + 4y) = -5y + -6

Reorder the terms:
12 + 4y = -6 + -5y

Solving
12 + 4y = -6 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
12 + 4y + 5y = -6 + -5y + 5y

Combine like terms: 4y + 5y = 9y
12 + 9y = -6 + -5y + 5y

Combine like terms: -5y + 5y = 0
12 + 9y = -6 + 0
12 + 9y = -6

Add '-12' to each side of the equation.
12 + -12 + 9y = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 9y = -6 + -12
9y = -6 + -12

Combine like terms: -6 + -12 = -18
9y = -18

Divide each side by '9'.
y = -2

Simplifying
y = -2

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