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Simplifying y + 5 = -6(x + 7) Reorder the terms: 5 + y = -6(x + 7) Reorder the terms: 5 + y = -6(7 + x) 5 + y = (7 * -6 + x * -6) 5 + y = (-42 + -6x) Solving 5 + y = -42 + -6x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = -42 + -5 + -6x Combine like terms: 5 + -5 = 0 0 + y = -42 + -5 + -6x y = -42 + -5 + -6x Combine like terms: -42 + -5 = -47 y = -47 + -6x Simplifying y = -47 + -6x
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