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Simplifying -5(y + 3) = -7y + -1 Reorder the terms: -5(3 + y) = -7y + -1 (3 * -5 + y * -5) = -7y + -1 (-15 + -5y) = -7y + -1 Reorder the terms: -15 + -5y = -1 + -7y Solving -15 + -5y = -1 + -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 = -1 + -7y + 7y Combine like terms: -5y + 7y = 2y -15 + 2y = -1 + -7y + 7y Combine like terms: -7y + 7y = 0 -15 + 2y = -1 + 0 -15 + 2y = -1 Add '15' to each side of the equation. -15 + 15 + 2y = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 2y = -1 + 15 2y = -1 + 15 Combine like terms: -1 + 15 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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