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

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


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

Reorder the terms:
7(-2 + y) = 4 + -2y
(-2 * 7 + y * 7) = 4 + -2y
(-14 + 7y) = 4 + -2y

Solving
-14 + 7y = 4 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-14 + 7y + 2y = 4 + -2y + 2y

Combine like terms: 7y + 2y = 9y
-14 + 9y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
-14 + 9y = 4 + 0
-14 + 9y = 4

Add '14' to each side of the equation.
-14 + 14 + 9y = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 9y = 4 + 14
9y = 4 + 14

Combine like terms: 4 + 14 = 18
9y = 18

Divide each side by '9'.
y = 2

Simplifying
y = 2

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