[y-5]=3[x-2]

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Solution for [y-5]=3[x-2] equation:


Simplifying
[y + -5] = 3[x + -2]

Reorder the terms:
[-5 + y] = 3[x + -2]

Remove brackets around [-5 + y]
-5 + y = 3[x + -2]

Reorder the terms:
-5 + y = 3[-2 + x]
-5 + y = [-2 * 3 + x * 3]
-5 + y = [-6 + 3x]

Solving
-5 + y = -6 + 3x

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + y = -6 + 5 + 3x

Combine like terms: -5 + 5 = 0
0 + y = -6 + 5 + 3x
y = -6 + 5 + 3x

Combine like terms: -6 + 5 = -1
y = -1 + 3x

Simplifying
y = -1 + 3x

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