7y-2=2(y-4)

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


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

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

Reorder the terms:
-2 + 7y = 2(-4 + y)
-2 + 7y = (-4 * 2 + y * 2)
-2 + 7y = (-8 + 2y)

Solving
-2 + 7y = -8 + 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.
-2 + 7y + -2y = -8 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-2 + 5y = -8 + 2y + -2y

Combine like terms: 2y + -2y = 0
-2 + 5y = -8 + 0
-2 + 5y = -8

Add '2' to each side of the equation.
-2 + 2 + 5y = -8 + 2

Combine like terms: -2 + 2 = 0
0 + 5y = -8 + 2
5y = -8 + 2

Combine like terms: -8 + 2 = -6
5y = -6

Divide each side by '5'.
y = -1.2

Simplifying
y = -1.2

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