3y+6(y-4)=13y-10

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Solution for 3y+6(y-4)=13y-10 equation:


Simplifying
3y + 6(y + -4) = 13y + -10

Reorder the terms:
3y + 6(-4 + y) = 13y + -10
3y + (-4 * 6 + y * 6) = 13y + -10
3y + (-24 + 6y) = 13y + -10

Reorder the terms:
-24 + 3y + 6y = 13y + -10

Combine like terms: 3y + 6y = 9y
-24 + 9y = 13y + -10

Reorder the terms:
-24 + 9y = -10 + 13y

Solving
-24 + 9y = -10 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
-24 + 9y + -13y = -10 + 13y + -13y

Combine like terms: 9y + -13y = -4y
-24 + -4y = -10 + 13y + -13y

Combine like terms: 13y + -13y = 0
-24 + -4y = -10 + 0
-24 + -4y = -10

Add '24' to each side of the equation.
-24 + 24 + -4y = -10 + 24

Combine like terms: -24 + 24 = 0
0 + -4y = -10 + 24
-4y = -10 + 24

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

Divide each side by '-4'.
y = -3.5

Simplifying
y = -3.5

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