-4(y+5)=-6y-16

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Solution for -4(y+5)=-6y-16 equation:


Simplifying
-4(y + 5) = -6y + -16

Reorder the terms:
-4(5 + y) = -6y + -16
(5 * -4 + y * -4) = -6y + -16
(-20 + -4y) = -6y + -16

Reorder the terms:
-20 + -4y = -16 + -6y

Solving
-20 + -4y = -16 + -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.
-20 + -4y + 6y = -16 + -6y + 6y

Combine like terms: -4y + 6y = 2y
-20 + 2y = -16 + -6y + 6y

Combine like terms: -6y + 6y = 0
-20 + 2y = -16 + 0
-20 + 2y = -16

Add '20' to each side of the equation.
-20 + 20 + 2y = -16 + 20

Combine like terms: -20 + 20 = 0
0 + 2y = -16 + 20
2y = -16 + 20

Combine like terms: -16 + 20 = 4
2y = 4

Divide each side by '2'.
y = 2

Simplifying
y = 2

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