y-(-3)=-5(x-6)

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Solution for y-(-3)=-5(x-6) equation:


Simplifying
y + -1(-3) = -5(x + -6)

Multiply -1 * -3
y + 3 = -5(x + -6)

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

Reorder the terms:
3 + y = -5(-6 + x)
3 + y = (-6 * -5 + x * -5)
3 + y = (30 + -5x)

Solving
3 + y = 30 + -5x

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + y = 30 + -3 + -5x

Combine like terms: 3 + -3 = 0
0 + y = 30 + -3 + -5x
y = 30 + -3 + -5x

Combine like terms: 30 + -3 = 27
y = 27 + -5x

Simplifying
y = 27 + -5x

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