-5(3y-4)=33+9y

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Solution for -5(3y-4)=33+9y equation:


Simplifying
-5(3y + -4) = 33 + 9y

Reorder the terms:
-5(-4 + 3y) = 33 + 9y
(-4 * -5 + 3y * -5) = 33 + 9y
(20 + -15y) = 33 + 9y

Solving
20 + -15y = 33 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
20 + -15y + -9y = 33 + 9y + -9y

Combine like terms: -15y + -9y = -24y
20 + -24y = 33 + 9y + -9y

Combine like terms: 9y + -9y = 0
20 + -24y = 33 + 0
20 + -24y = 33

Add '-20' to each side of the equation.
20 + -20 + -24y = 33 + -20

Combine like terms: 20 + -20 = 0
0 + -24y = 33 + -20
-24y = 33 + -20

Combine like terms: 33 + -20 = 13
-24y = 13

Divide each side by '-24'.
y = -0.5416666667

Simplifying
y = -0.5416666667

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