Final answer:
To write the equation in standard form, distribute -2 and move all terms to one side of the equation.
Step-by-step explanation:
The given equation is y-3=-2(x+4). To write this equation in standard form, we need to expand the brackets and combine like terms. First, distribute the -2 to both x and 4: y - 3 = -2x - 8. Then, move all terms to one side of the equation so that the x term is positive:
2x + y = -8 + 3
2x + y = -5
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