y-(-5)=m(x-2)

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


Simplifying
y + -1(-5) = m(x + -2)

Multiply -1 * -5
y + 5 = m(x + -2)

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

Reorder the terms:
5 + y = m(-2 + x)
5 + y = (-2 * m + x * m)
5 + y = (-2m + mx)

Solving
5 + y = -2m + mx

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 = -2m + -5 + mx

Combine like terms: 5 + -5 = 0
0 + y = -2m + -5 + mx
y = -2m + -5 + mx

Reorder the terms:
y = -5 + -2m + mx

Simplifying
y = -5 + -2m + mx

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