y-7=-3(x+5)

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Solution for y-7=-3(x+5) equation: 


Simplifying
y + -7 = -3(x + 5)

Reorder the terms:
-7 + y = -3(x + 5)

Reorder the terms:
-7 + y = -3(5 + x)
-7 + y = (5 * -3 + x * -3)
-7 + y = (-15 + -3x)

Solving
-7 + y = -15 + -3x

Solving for variable 'y'.

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

Add '7' to each side of the equation.
-7 + 7 + y = -15 + 7 + -3x

Combine like terms: -7 + 7 = 0
0 + y = -15 + 7 + -3x
y = -15 + 7 + -3x

Combine like terms: -15 + 7 = -8
y = -8 + -3x

Simplifying
y = -8 + -3x

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