7(y+2)=2(y+12)

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Solution for 7(y+2)=2(y+12) equation:


Simplifying
7(y + 2) = 2(y + 12)

Reorder the terms:
7(2 + y) = 2(y + 12)
(2 * 7 + y * 7) = 2(y + 12)
(14 + 7y) = 2(y + 12)

Reorder the terms:
14 + 7y = 2(12 + y)
14 + 7y = (12 * 2 + y * 2)
14 + 7y = (24 + 2y)

Solving
14 + 7y = 24 + 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.
14 + 7y + -2y = 24 + 2y + -2y

Combine like terms: 7y + -2y = 5y
14 + 5y = 24 + 2y + -2y

Combine like terms: 2y + -2y = 0
14 + 5y = 24 + 0
14 + 5y = 24

Add '-14' to each side of the equation.
14 + -14 + 5y = 24 + -14

Combine like terms: 14 + -14 = 0
0 + 5y = 24 + -14
5y = 24 + -14

Combine like terms: 24 + -14 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2

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