7y+12=3(y-4)

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Solution for 7y+12=3(y-4) equation: 


Simplifying
7y + 12 = 3(y + -4)

Reorder the terms:
12 + 7y = 3(y + -4)

Reorder the terms:
12 + 7y = 3(-4 + y)
12 + 7y = (-4 * 3 + y * 3)
12 + 7y = (-12 + 3y)

Solving
12 + 7y = -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.
12 + 7y + -3y = -12 + 3y + -3y

Combine like terms: 7y + -3y = 4y
12 + 4y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
12 + 4y = -12 + 0
12 + 4y = -12

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

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

Combine like terms: -12 + -12 = -24
4y = -24

Divide each side by '4'.
y = -6

Simplifying
y = -6

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