14-3y=5(y-2)

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Solution for 14-3y=5(y-2) equation:


Simplifying
14 + -3y = 5(y + -2)

Reorder the terms:
14 + -3y = 5(-2 + y)
14 + -3y = (-2 * 5 + y * 5)
14 + -3y = (-10 + 5y)

Solving
14 + -3y = -10 + 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.
14 + -3y + -5y = -10 + 5y + -5y

Combine like terms: -3y + -5y = -8y
14 + -8y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
14 + -8y = -10 + 0
14 + -8y = -10

Add '-14' to each side of the equation.
14 + -14 + -8y = -10 + -14

Combine like terms: 14 + -14 = 0
0 + -8y = -10 + -14
-8y = -10 + -14

Combine like terms: -10 + -14 = -24
-8y = -24

Divide each side by '-8'.
y = 3

Simplifying
y = 3

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