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

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


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

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

Reorder the terms:
7 + -3y = -2(4 + 3y)
7 + -3y = (4 * -2 + 3y * -2)
7 + -3y = (-8 + -6y)

Solving
7 + -3y = -8 + -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.
7 + -3y + 6y = -8 + -6y + 6y

Combine like terms: -3y + 6y = 3y
7 + 3y = -8 + -6y + 6y

Combine like terms: -6y + 6y = 0
7 + 3y = -8 + 0
7 + 3y = -8

Add '-7' to each side of the equation.
7 + -7 + 3y = -8 + -7

Combine like terms: 7 + -7 = 0
0 + 3y = -8 + -7
3y = -8 + -7

Combine like terms: -8 + -7 = -15
3y = -15

Divide each side by '3'.
y = -5

Simplifying
y = -5

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