y-5=6(x-2)

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Solution for y-5=6(x-2) equation:


Simplifying
y + -5 = 6(x + -2)

Reorder the terms:
-5 + y = 6(x + -2)

Reorder the terms:
-5 + y = 6(-2 + x)
-5 + y = (-2 * 6 + x * 6)
-5 + y = (-12 + 6x)

Solving
-5 + y = -12 + 6x

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 = -12 + 5 + 6x

Combine like terms: -5 + 5 = 0
0 + y = -12 + 5 + 6x
y = -12 + 5 + 6x

Combine like terms: -12 + 5 = -7
y = -7 + 6x

Simplifying
y = -7 + 6x

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