y-7=-4(x+1)

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Solution for y-7=-4(x+1) equation: 


Simplifying
y + -7 = -4(x + 1)

Reorder the terms:
-7 + y = -4(x + 1)

Reorder the terms:
-7 + y = -4(1 + x)
-7 + y = (1 * -4 + x * -4)
-7 + y = (-4 + -4x)

Solving
-7 + y = -4 + -4x

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 = -4 + 7 + -4x

Combine like terms: -7 + 7 = 0
0 + y = -4 + 7 + -4x
y = -4 + 7 + -4x

Combine like terms: -4 + 7 = 3
y = 3 + -4x

Simplifying
y = 3 + -4x

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