-3y+4=-2(3y+7)

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Solution for -3y+4=-2(3y+7) equation:


Simplifying
-3y + 4 = -2(3y + 7)

Reorder the terms:
4 + -3y = -2(3y + 7)

Reorder the terms:
4 + -3y = -2(7 + 3y)
4 + -3y = (7 * -2 + 3y * -2)
4 + -3y = (-14 + -6y)

Solving
4 + -3y = -14 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
4 + -3y + 6y = -14 + -6y + 6y

Combine like terms: -3y + 6y = 3y
4 + 3y = -14 + -6y + 6y

Combine like terms: -6y + 6y = 0
4 + 3y = -14 + 0
4 + 3y = -14

Add '-4' to each side of the equation.
4 + -4 + 3y = -14 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = -14 + -4
3y = -14 + -4

Combine like terms: -14 + -4 = -18
3y = -18

Divide each side by '3'.
y = -6

Simplifying
y = -6

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