3(y-4)=-2y

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


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

Reorder the terms:
3(-4 + y) = -2y
(-4 * 3 + y * 3) = -2y
(-12 + 3y) = -2y

Solving
-12 + 3y = -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-12 + 3y + 2y = -2y + 2y

Combine like terms: 3y + 2y = 5y
-12 + 5y = -2y + 2y

Combine like terms: -2y + 2y = 0
-12 + 5y = 0

Add '12' to each side of the equation.
-12 + 12 + 5y = 0 + 12

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

Combine like terms: 0 + 12 = 12
5y = 12

Divide each side by '5'.
y = 2.4

Simplifying
y = 2.4

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