-6(y-3)=2(3x+7)

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Solution for -6(y-3)=2(3x+7) equation:


Simplifying
-6(y + -3) = 2(3x + 7)

Reorder the terms:
-6(-3 + y) = 2(3x + 7)
(-3 * -6 + y * -6) = 2(3x + 7)
(18 + -6y) = 2(3x + 7)

Reorder the terms:
18 + -6y = 2(7 + 3x)
18 + -6y = (7 * 2 + 3x * 2)
18 + -6y = (14 + 6x)

Solving
18 + -6y = 14 + 6x

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + -6y = 14 + -18 + 6x

Combine like terms: 18 + -18 = 0
0 + -6y = 14 + -18 + 6x
-6y = 14 + -18 + 6x

Combine like terms: 14 + -18 = -4
-6y = -4 + 6x

Divide each side by '-6'.
y = 0.6666666667 + -1x

Simplifying
y = 0.6666666667 + -1x

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