y-7=-3(x+2)

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Solution for y-7=-3(x+2) equation:


Simplifying
y + -7 = -3(x + 2)

Reorder the terms:
-7 + y = -3(x + 2)

Reorder the terms:
-7 + y = -3(2 + x)
-7 + y = (2 * -3 + x * -3)
-7 + y = (-6 + -3x)

Solving
-7 + y = -6 + -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 = -6 + 7 + -3x

Combine like terms: -7 + 7 = 0
0 + y = -6 + 7 + -3x
y = -6 + 7 + -3x

Combine like terms: -6 + 7 = 1
y = 1 + -3x

Simplifying
y = 1 + -3x

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