6(y-4)+2y=-5y+14

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Solution for 6(y-4)+2y=-5y+14 equation:


Simplifying
6(y + -4) + 2y = -5y + 14

Reorder the terms:
6(-4 + y) + 2y = -5y + 14
(-4 * 6 + y * 6) + 2y = -5y + 14
(-24 + 6y) + 2y = -5y + 14

Combine like terms: 6y + 2y = 8y
-24 + 8y = -5y + 14

Reorder the terms:
-24 + 8y = 14 + -5y

Solving
-24 + 8y = 14 + -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.
-24 + 8y + 5y = 14 + -5y + 5y

Combine like terms: 8y + 5y = 13y
-24 + 13y = 14 + -5y + 5y

Combine like terms: -5y + 5y = 0
-24 + 13y = 14 + 0
-24 + 13y = 14

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

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

Combine like terms: 14 + 24 = 38
13y = 38

Divide each side by '13'.
y = 2.923076923

Simplifying
y = 2.923076923

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