y+14=8(y+7)

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Solution for y+14=8(y+7) equation:


Simplifying
y + 14 = 8(y + 7)

Reorder the terms:
14 + y = 8(y + 7)

Reorder the terms:
14 + y = 8(7 + y)
14 + y = (7 * 8 + y * 8)
14 + y = (56 + 8y)

Solving
14 + y = 56 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
14 + y + -8y = 56 + 8y + -8y

Combine like terms: y + -8y = -7y
14 + -7y = 56 + 8y + -8y

Combine like terms: 8y + -8y = 0
14 + -7y = 56 + 0
14 + -7y = 56

Add '-14' to each side of the equation.
14 + -14 + -7y = 56 + -14

Combine like terms: 14 + -14 = 0
0 + -7y = 56 + -14
-7y = 56 + -14

Combine like terms: 56 + -14 = 42
-7y = 42

Divide each side by '-7'.
y = -6

Simplifying
y = -6

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