3y+14=5(y+2)

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


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

Reorder the terms:
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 = -2y
14 + -2y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
14 + -2y = 10 + 0
14 + -2y = 10

Add '-14' to each side of the equation.
14 + -14 + -2y = 10 + -14

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

Combine like terms: 10 + -14 = -4
-2y = -4

Divide each side by '-2'.
y = 2

Simplifying
y = 2

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