y=5(y-4)-14

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Solution for y=5(y-4)-14 equation:


Simplifying
y = 5(y + -4) + -14

Reorder the terms:
y = 5(-4 + y) + -14
y = (-4 * 5 + y * 5) + -14
y = (-20 + 5y) + -14

Reorder the terms:
y = -20 + -14 + 5y

Combine like terms: -20 + -14 = -34
y = -34 + 5y

Solving
y = -34 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
y + -5y = -34 + 5y + -5y

Combine like terms: y + -5y = -4y
-4y = -34 + 5y + -5y

Combine like terms: 5y + -5y = 0
-4y = -34 + 0
-4y = -34

Divide each side by '-4'.
y = 8.5

Simplifying
y = 8.5

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