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Simplifying -5y + -24 = -7(y + 6) Reorder the terms: -24 + -5y = -7(y + 6) Reorder the terms: -24 + -5y = -7(6 + y) -24 + -5y = (6 * -7 + y * -7) -24 + -5y = (-42 + -7y) Solving -24 + -5y = -42 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -24 + -5y + 7y = -42 + -7y + 7y Combine like terms: -5y + 7y = 2y -24 + 2y = -42 + -7y + 7y Combine like terms: -7y + 7y = 0 -24 + 2y = -42 + 0 -24 + 2y = -42 Add '24' to each side of the equation. -24 + 24 + 2y = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 2y = -42 + 24 2y = -42 + 24 Combine like terms: -42 + 24 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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