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Simplifying -5y + -15 = -7(y + 5) Reorder the terms: -15 + -5y = -7(y + 5) Reorder the terms: -15 + -5y = -7(5 + y) -15 + -5y = (5 * -7 + y * -7) -15 + -5y = (-35 + -7y) Solving -15 + -5y = -35 + -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. -15 + -5y + 7y = -35 + -7y + 7y Combine like terms: -5y + 7y = 2y -15 + 2y = -35 + -7y + 7y Combine like terms: -7y + 7y = 0 -15 + 2y = -35 + 0 -15 + 2y = -35 Add '15' to each side of the equation. -15 + 15 + 2y = -35 + 15 Combine like terms: -15 + 15 = 0 0 + 2y = -35 + 15 2y = -35 + 15 Combine like terms: -35 + 15 = -20 2y = -20 Divide each side by '2'. y = -10 Simplifying y = -10
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