7y-2(y-3)=12y-(8y+8)

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Solution for 7y-2(y-3)=12y-(8y+8) equation:


Simplifying
7y + -2(y + -3) = 12y + -1(8y + 8)

Reorder the terms:
7y + -2(-3 + y) = 12y + -1(8y + 8)
7y + (-3 * -2 + y * -2) = 12y + -1(8y + 8)
7y + (6 + -2y) = 12y + -1(8y + 8)

Reorder the terms:
6 + 7y + -2y = 12y + -1(8y + 8)

Combine like terms: 7y + -2y = 5y
6 + 5y = 12y + -1(8y + 8)

Reorder the terms:
6 + 5y = 12y + -1(8 + 8y)
6 + 5y = 12y + (8 * -1 + 8y * -1)
6 + 5y = 12y + (-8 + -8y)

Reorder the terms:
6 + 5y = -8 + 12y + -8y

Combine like terms: 12y + -8y = 4y
6 + 5y = -8 + 4y

Solving
6 + 5y = -8 + 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.
6 + 5y + -4y = -8 + 4y + -4y

Combine like terms: 5y + -4y = 1y
6 + 1y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + 1y = -8 + 0
6 + 1y = -8

Add '-6' to each side of the equation.
6 + -6 + 1y = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = -8 + -6
1y = -8 + -6

Combine like terms: -8 + -6 = -14
1y = -14

Divide each side by '1'.
y = -14

Simplifying
y = -14

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