(-6)(y-2)=7(2-y)

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


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

Reorder the terms:
-6(-2 + y) = 7(2 + -1y)
(-2 * -6 + y * -6) = 7(2 + -1y)
(12 + -6y) = 7(2 + -1y)
12 + -6y = (2 * 7 + -1y * 7)
12 + -6y = (14 + -7y)

Solving
12 + -6y = 14 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
12 + -6y + 7y = 14 + -7y + 7y

Combine like terms: -6y + 7y = 1y
12 + 1y = 14 + -7y + 7y

Combine like terms: -7y + 7y = 0
12 + 1y = 14 + 0
12 + 1y = 14

Add '-12' to each side of the equation.
12 + -12 + 1y = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 1y = 14 + -12
1y = 14 + -12

Combine like terms: 14 + -12 = 2
1y = 2

Divide each side by '1'.
y = 2

Simplifying
y = 2

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