7y-2(y-2)=9y-(5y+12)

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Solution for 7y-2(y-2)=9y-(5y+12) equation:


Simplifying
7y + -2(y + -2) = 9y + -1(5y + 12)

Reorder the terms:
7y + -2(-2 + y) = 9y + -1(5y + 12)
7y + (-2 * -2 + y * -2) = 9y + -1(5y + 12)
7y + (4 + -2y) = 9y + -1(5y + 12)

Reorder the terms:
4 + 7y + -2y = 9y + -1(5y + 12)

Combine like terms: 7y + -2y = 5y
4 + 5y = 9y + -1(5y + 12)

Reorder the terms:
4 + 5y = 9y + -1(12 + 5y)
4 + 5y = 9y + (12 * -1 + 5y * -1)
4 + 5y = 9y + (-12 + -5y)

Reorder the terms:
4 + 5y = -12 + 9y + -5y

Combine like terms: 9y + -5y = 4y
4 + 5y = -12 + 4y

Solving
4 + 5y = -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 + 5y + -4y = -12 + 4y + -4y

Combine like terms: 5y + -4y = 1y
4 + 1y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
4 + 1y = -12 + 0
4 + 1y = -12

Add '-4' to each side of the equation.
4 + -4 + 1y = -12 + -4

Combine like terms: 4 + -4 = 0
0 + 1y = -12 + -4
1y = -12 + -4

Combine like terms: -12 + -4 = -16
1y = -16

Divide each side by '1'.
y = -16

Simplifying
y = -16

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