-6(y-4)=-5y-9

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Solution for -6(y-4)=-5y-9 equation:


Simplifying
-6(y + -4) = -5y + -9

Reorder the terms:
-6(-4 + y) = -5y + -9
(-4 * -6 + y * -6) = -5y + -9
(24 + -6y) = -5y + -9

Reorder the terms:
24 + -6y = -9 + -5y

Solving
24 + -6y = -9 + -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.
24 + -6y + 5y = -9 + -5y + 5y

Combine like terms: -6y + 5y = -1y
24 + -1y = -9 + -5y + 5y

Combine like terms: -5y + 5y = 0
24 + -1y = -9 + 0
24 + -1y = -9

Add '-24' to each side of the equation.
24 + -24 + -1y = -9 + -24

Combine like terms: 24 + -24 = 0
0 + -1y = -9 + -24
-1y = -9 + -24

Combine like terms: -9 + -24 = -33
-1y = -33

Divide each side by '-1'.
y = 33

Simplifying
y = 33

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