y-7=-2(x+5)

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Solution for y-7=-2(x+5) equation:


Simplifying
y + -7 = -2(x + 5)

Reorder the terms:
-7 + y = -2(x + 5)

Reorder the terms:
-7 + y = -2(5 + x)
-7 + y = (5 * -2 + x * -2)
-7 + y = (-10 + -2x)

Solving
-7 + y = -10 + -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 = -10 + 7 + -2x

Combine like terms: -7 + 7 = 0
0 + y = -10 + 7 + -2x
y = -10 + 7 + -2x

Combine like terms: -10 + 7 = -3
y = -3 + -2x

Simplifying
y = -3 + -2x

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