y+7=-2(x-1)

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Solution for y+7=-2(x-1) equation:


Simplifying
y + 7 = -2(x + -1)

Reorder the terms:
7 + y = -2(x + -1)

Reorder the terms:
7 + y = -2(-1 + x)
7 + y = (-1 * -2 + x * -2)
7 + y = (2 + -2x)

Solving
7 + y = 2 + -2x

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 = 2 + -7 + -2x

Combine like terms: 7 + -7 = 0
0 + y = 2 + -7 + -2x
y = 2 + -7 + -2x

Combine like terms: 2 + -7 = -5
y = -5 + -2x

Simplifying
y = -5 + -2x

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