y+2=-5(x-3)

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Solution for y+2=-5(x-3) equation:


Simplifying
y + 2 = -5(x + -3)

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

Reorder the terms:
2 + y = -5(-3 + x)
2 + y = (-3 * -5 + x * -5)
2 + y = (15 + -5x)

Solving
2 + y = 15 + -5x

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + y = 15 + -2 + -5x

Combine like terms: 2 + -2 = 0
0 + y = 15 + -2 + -5x
y = 15 + -2 + -5x

Combine like terms: 15 + -2 = 13
y = 13 + -5x

Simplifying
y = 13 + -5x

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