3y+2=-4y-12

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


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

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

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

Solving
2 + 3y = -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.
2 + 3y + 4y = -12 + -4y + 4y

Combine like terms: 3y + 4y = 7y
2 + 7y = -12 + -4y + 4y

Combine like terms: -4y + 4y = 0
2 + 7y = -12 + 0
2 + 7y = -12

Add '-2' to each side of the equation.
2 + -2 + 7y = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 7y = -12 + -2
7y = -12 + -2

Combine like terms: -12 + -2 = -14
7y = -14

Divide each side by '7'.
y = -2

Simplifying
y = -2

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