6y-18y+36=2(y+3)

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Solution for 6y-18y+36=2(y+3) equation:


Simplifying
6y + -18y + 36 = 2(y + 3)

Reorder the terms:
36 + 6y + -18y = 2(y + 3)

Combine like terms: 6y + -18y = -12y
36 + -12y = 2(y + 3)

Reorder the terms:
36 + -12y = 2(3 + y)
36 + -12y = (3 * 2 + y * 2)
36 + -12y = (6 + 2y)

Solving
36 + -12y = 6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
36 + -12y + -2y = 6 + 2y + -2y

Combine like terms: -12y + -2y = -14y
36 + -14y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
36 + -14y = 6 + 0
36 + -14y = 6

Add '-36' to each side of the equation.
36 + -36 + -14y = 6 + -36

Combine like terms: 36 + -36 = 0
0 + -14y = 6 + -36
-14y = 6 + -36

Combine like terms: 6 + -36 = -30
-14y = -30

Divide each side by '-14'.
y = 2.142857143

Simplifying
y = 2.142857143

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