5(3y-4)=3y-2+9y

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Solution for 5(3y-4)=3y-2+9y equation:


Simplifying
5(3y + -4) = 3y + -2 + 9y

Reorder the terms:
5(-4 + 3y) = 3y + -2 + 9y
(-4 * 5 + 3y * 5) = 3y + -2 + 9y
(-20 + 15y) = 3y + -2 + 9y

Reorder the terms:
-20 + 15y = -2 + 3y + 9y

Combine like terms: 3y + 9y = 12y
-20 + 15y = -2 + 12y

Solving
-20 + 15y = -2 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-20 + 15y + -12y = -2 + 12y + -12y

Combine like terms: 15y + -12y = 3y
-20 + 3y = -2 + 12y + -12y

Combine like terms: 12y + -12y = 0
-20 + 3y = -2 + 0
-20 + 3y = -2

Add '20' to each side of the equation.
-20 + 20 + 3y = -2 + 20

Combine like terms: -20 + 20 = 0
0 + 3y = -2 + 20
3y = -2 + 20

Combine like terms: -2 + 20 = 18
3y = 18

Divide each side by '3'.
y = 6

Simplifying
y = 6

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