8y-16=-2(y-7)

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Solution for 8y-16=-2(y-7) equation:


Simplifying
8y + -16 = -2(y + -7)

Reorder the terms:
-16 + 8y = -2(y + -7)

Reorder the terms:
-16 + 8y = -2(-7 + y)
-16 + 8y = (-7 * -2 + y * -2)
-16 + 8y = (14 + -2y)

Solving
-16 + 8y = 14 + -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.
-16 + 8y + 2y = 14 + -2y + 2y

Combine like terms: 8y + 2y = 10y
-16 + 10y = 14 + -2y + 2y

Combine like terms: -2y + 2y = 0
-16 + 10y = 14 + 0
-16 + 10y = 14

Add '16' to each side of the equation.
-16 + 16 + 10y = 14 + 16

Combine like terms: -16 + 16 = 0
0 + 10y = 14 + 16
10y = 14 + 16

Combine like terms: 14 + 16 = 30
10y = 30

Divide each side by '10'.
y = 3

Simplifying
y = 3

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