3y+7+3(y-1)=2(2y-6)

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Solution for 3y+7+3(y-1)=2(2y-6) equation:


Simplifying
3y + 7 + 3(y + -1) = 2(2y + -6)

Reorder the terms:
3y + 7 + 3(-1 + y) = 2(2y + -6)
3y + 7 + (-1 * 3 + y * 3) = 2(2y + -6)
3y + 7 + (-3 + 3y) = 2(2y + -6)

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

Combine like terms: 7 + -3 = 4
4 + 3y + 3y = 2(2y + -6)

Combine like terms: 3y + 3y = 6y
4 + 6y = 2(2y + -6)

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

Solving
4 + 6y = -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.
4 + 6y + -4y = -12 + 4y + -4y

Combine like terms: 6y + -4y = 2y
4 + 2y = -12 + 4y + -4y

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

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

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

Combine like terms: -12 + -4 = -16
2y = -16

Divide each side by '2'.
y = -8

Simplifying
y = -8

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