2(2y+7)+6y=24-3y

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Solution for 2(2y+7)+6y=24-3y equation:


Simplifying
2(2y + 7) + 6y = 24 + -3y

Reorder the terms:
2(7 + 2y) + 6y = 24 + -3y
(7 * 2 + 2y * 2) + 6y = 24 + -3y
(14 + 4y) + 6y = 24 + -3y

Combine like terms: 4y + 6y = 10y
14 + 10y = 24 + -3y

Solving
14 + 10y = 24 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
14 + 10y + 3y = 24 + -3y + 3y

Combine like terms: 10y + 3y = 13y
14 + 13y = 24 + -3y + 3y

Combine like terms: -3y + 3y = 0
14 + 13y = 24 + 0
14 + 13y = 24

Add '-14' to each side of the equation.
14 + -14 + 13y = 24 + -14

Combine like terms: 14 + -14 = 0
0 + 13y = 24 + -14
13y = 24 + -14

Combine like terms: 24 + -14 = 10
13y = 10

Divide each side by '13'.
y = 0.7692307692

Simplifying
y = 0.7692307692

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