2(y-4)=-3y+12

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Solution for 2(y-4)=-3y+12 equation:


Simplifying
2(y + -4) = -3y + 12

Reorder the terms:
2(-4 + y) = -3y + 12
(-4 * 2 + y * 2) = -3y + 12
(-8 + 2y) = -3y + 12

Reorder the terms:
-8 + 2y = 12 + -3y

Solving
-8 + 2y = 12 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-8 + 2y + 3y = 12 + -3y + 3y

Combine like terms: 2y + 3y = 5y
-8 + 5y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
-8 + 5y = 12 + 0
-8 + 5y = 12

Add '8' to each side of the equation.
-8 + 8 + 5y = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 5y = 12 + 8
5y = 12 + 8

Combine like terms: 12 + 8 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4

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