6y+14=-3(y-6)

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Solution for 6y+14=-3(y-6) equation:


Simplifying
6y + 14 = -3(y + -6)

Reorder the terms:
14 + 6y = -3(y + -6)

Reorder the terms:
14 + 6y = -3(-6 + y)
14 + 6y = (-6 * -3 + y * -3)
14 + 6y = (18 + -3y)

Solving
14 + 6y = 18 + -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 + 6y + 3y = 18 + -3y + 3y

Combine like terms: 6y + 3y = 9y
14 + 9y = 18 + -3y + 3y

Combine like terms: -3y + 3y = 0
14 + 9y = 18 + 0
14 + 9y = 18

Add '-14' to each side of the equation.
14 + -14 + 9y = 18 + -14

Combine like terms: 14 + -14 = 0
0 + 9y = 18 + -14
9y = 18 + -14

Combine like terms: 18 + -14 = 4
9y = 4

Divide each side by '9'.
y = 0.4444444444

Simplifying
y = 0.4444444444

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