2(y+6)=4(y-3)

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Solution for 2(y+6)=4(y-3) equation: 


Simplifying
2(y + 6) = 4(y + -3)

Reorder the terms:
2(6 + y) = 4(y + -3)
(6 * 2 + y * 2) = 4(y + -3)
(12 + 2y) = 4(y + -3)

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

Solving
12 + 2y = -12 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
12 + 2y + -4y = -12 + 4y + -4y

Combine like terms: 2y + -4y = -2y
12 + -2y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + -2y = -12 + 0
12 + -2y = -12

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

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

Combine like terms: -12 + -12 = -24
-2y = -24

Divide each side by '-2'.
y = 12

Simplifying
y = 12

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