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

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


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

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

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

Solving
-18 + 6y = 6 + 3x

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 = 6 + 18 + 3x

Combine like terms: -18 + 18 = 0
0 + 6y = 6 + 18 + 3x
6y = 6 + 18 + 3x

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

Divide each side by '6'.
y = 4 + 0.5x

Simplifying
y = 4 + 0.5x

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