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

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


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

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

Reorder the terms:
-24 + 2y + 6y = 5y + -6

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

Reorder the terms:
-24 + 8y = -6 + 5y

Solving
-24 + 8y = -6 + 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 = -6 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-24 + 3y = -6 + 5y + -5y

Combine like terms: 5y + -5y = 0
-24 + 3y = -6 + 0
-24 + 3y = -6

Add '24' to each side of the equation.
-24 + 24 + 3y = -6 + 24

Combine like terms: -24 + 24 = 0
0 + 3y = -6 + 24
3y = -6 + 24

Combine like terms: -6 + 24 = 18
3y = 18

Divide each side by '3'.
y = 6

Simplifying
y = 6

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