7y-2=-(y-14)

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Solution for 7y-2=-(y-14) equation:


Simplifying
7y + -2 = -1(y + -14)

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

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

Solving
-2 + 7y = 14 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-2 + 7y + y = 14 + -1y + y

Combine like terms: 7y + y = 8y
-2 + 8y = 14 + -1y + y

Combine like terms: -1y + y = 0
-2 + 8y = 14 + 0
-2 + 8y = 14

Add '2' to each side of the equation.
-2 + 2 + 8y = 14 + 2

Combine like terms: -2 + 2 = 0
0 + 8y = 14 + 2
8y = 14 + 2

Combine like terms: 14 + 2 = 16
8y = 16

Divide each side by '8'.
y = 2

Simplifying
y = 2

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