3(y-3)+1=2(x-1)

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Solution for 3(y-3)+1=2(x-1) equation:


Simplifying
3(y + -3) + 1 = 2(x + -1)

Reorder the terms:
3(-3 + y) + 1 = 2(x + -1)
(-3 * 3 + y * 3) + 1 = 2(x + -1)
(-9 + 3y) + 1 = 2(x + -1)

Reorder the terms:
-9 + 1 + 3y = 2(x + -1)

Combine like terms: -9 + 1 = -8
-8 + 3y = 2(x + -1)

Reorder the terms:
-8 + 3y = 2(-1 + x)
-8 + 3y = (-1 * 2 + x * 2)
-8 + 3y = (-2 + 2x)

Solving
-8 + 3y = -2 + 2x

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 3y = -2 + 8 + 2x

Combine like terms: -8 + 8 = 0
0 + 3y = -2 + 8 + 2x
3y = -2 + 8 + 2x

Combine like terms: -2 + 8 = 6
3y = 6 + 2x

Divide each side by '3'.
y = 2 + 0.6666666667x

Simplifying
y = 2 + 0.6666666667x

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